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Point Slope Form

Find the slope from two points<br>Online math lesson <br>pre-algebra<br>math 8th grade

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Point Slope Form

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  1. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  2. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  3. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  4. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  5. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  6. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  7. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  8. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  9. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  10. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  11. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  12. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  13. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  14. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  15. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  16. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Slope: 3/1 Y-intercept: (0,-4) Now it is ready to graph!!

  17. Find the equation of the line passing through (3, 5) and (8, 20). 20 - 5 15 3 8 - 3 5 1 Calculate the slope. m = = = = 3 y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. y - 5 = 3 (x - 3) y - 5 = 3 (x - 3) Distribute the slope - Multiply it by both terms in parentheses. y - 5 = 3x - 9 + 5 = +5 Add or Subtract to isolate the y. y = 3x - 4 Final Answer y = 3x - 4 Now it is ready to graph!! Slope: 3/1 Y-intercept: (0,-4)

  18. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  19. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  20. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  21. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  22. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  23. Find the equation of the line passing through (-3, -5) and (2, 20). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  24. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  25. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  26. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  27. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  28. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  29. Find the equation of the line passing through (-4, 14) and (4, 10). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

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  32. Find the equation of the line passing through (-4,0) and (1,5). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  33. Find the equation of the line passing through (3,7) and (1,5). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  34. Find the equation of the line passing through (2,0) and (4,4). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  35. Find the equation of the line passing through (1,3) and (0,-4). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  36. Find the equation of the line passing through (-4,-2) and (-3,5). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  37. Find the equation of the line passing through (0,4) and (-5,5). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  38. Find the equation of the line passing through (4,-2) and (-4,-4). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  39. Find the equation of the line passing through (-4,2) and (0,-5). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  40. Find the equation of the line passing through (5,-2) and (-4,-3). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

  41. Find the equation of the line passing through (-5,-2) and (3,-1). Calculate the slope. m = y - y1 = m (x - x1) Choose one point and use the slope to fill in the point-slope formula. Distribute the slope - Multiply it by both terms in parentheses. Add or Subtract to isolate the y. Final Answer Now it is ready to graph!! Slope: Y-intercept:

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