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Graphing Linear Equations

Graphing Linear Equations. By: Christine Berg Edited By: VTHamilton. Linear Equation. An equation for which the graph is a line. Solution. Any ordered pair of numbers that makes a linear equation true. (9,0) IS ONE SOLUTION FOR Y = X - 9. Linear Equation. Example: y = x + 3. Graphing.

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Graphing Linear Equations

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  1. Graphing Linear Equations By: Christine Berg Edited By: VTHamilton

  2. Linear Equation An equation for which the graph is a line

  3. Solution Any ordered pair of numbers that makes a linear equation true. (9,0) IS ONE SOLUTION FOR Y = X - 9

  4. Linear Equation Example: y = x + 3

  5. Graphing Step 1: ~ Three Point Method ~ Choose 3 values for x

  6. Graphing Step 2: Find solutions using table y = x + 3 Y | X 0 1 2

  7. Graphing Step 3: Graph the points from the table (0,3) (1,4) (2,5)

  8. Graphing Step 4: Draw a line to connect them

  9. Try These • Graph using a table (3 point method) 1) y = x + 3 2) y = x - 4

  10. X-intercept Where the line crosses the x-axis

  11. X-intercept The x-intercept has a y coordinate of ZERO

  12. X-intercept To find the x-intercept, plug in ZERO for y and solve

  13. Slope Describes the steepness of a line

  14. Slope Equal to: Rise Run

  15. Rise The change vertically, the change in y

  16. Run The change horizontally or the change in x

  17. Finding Slope Step 1: Find 2 points on a line (2, 3) (5, 4) (x1, y1) (x2, y2)

  18. Finding Slope Step 2: Find the RISE between these 2 points Y2 - Y1 = 4 - 3 = 1

  19. Finding Slope Step 3: Find the RUN between these 2 points X2 - X1 = 5 - 2 = 3

  20. Finding Slope Step 4: Write the RISE over RUN as a ratio Y2 - Y1= 1 X2 - X1 3

  21. Y-intercept Where the line crosses the y-axis

  22. Y-intercept The y-intercept has an x-coordinate of ZERO

  23. Y-intercept To find the y-intercept, plug in ZERO for x and solve

  24. Slope-Intercept y = mx + b m = slope b = y-intercept

  25. Step 1: Mark a point on the y-intercept

  26. Step 2: Define slope as a fraction...

  27. Step 3: Numerator is the vertical change (RISE)

  28. Step 4: Denominator is the horizontal change (RUN)

  29. Step 5: Graph at least 3 points and connect the dots

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