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5.2 Slope-Intercept Form

5.2 Slope-Intercept Form

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5.2 Slope-Intercept Form

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  1. 5.2 Slope-Intercept Form Objective: SWBAT write an equation in slope-intercept form given a graph or a slope and y-intercept

  2. Mini Quiz 41 1. Find the slope of the line passing through the points (-8, -5) and (3, -5). 2. Find the slope of the line passing through the points (-1, 3) and (6, -2).

  3. Quick Review 1. How do you determine the slope? From left to right, if it’s doing, up or down (graph) using the slope formula 2. What are the 4 different types of slopes? Positive (uphill), Negative (downhill), zero (flat), undefined (straight down) 3. The cost of group museum tickets is $48 for four people and $78 for ten people. Find the rate of change. $5/person 4. What is the difference between rate of change and slope? Rate of Change has units, slope has no units; both are found using independent (rise) “over” dependent (run)

  4. Slope-Intercept Form What is the y-intercept and the slope for each of the equation. Slope y-intercept slope = 3 y-intercept = -7 slope = -2/3 y-intercept = 6 slope = 1/2 y-intercept = -3/2 slope = 3/4 y-intercept = 1/2

  5. Write the Equation in Slope-Intercept Form 5. The slope is 2; the y-intercept is 5 6. The slope is -4; the y-intercept is 0 7. The slope is - ; the y-intercept is -3 8. The slope is ; the y-intercept is 9. Write an equation to model the total cost y of renting a bike for x hours, if the rental cost is $5 plus $1.75 per hour. y = 2x + 5 y = -4x y = - x – 3 y = x + y = 1.75x + 5

  6. Write an Equation in Slope-Intercept Form 10. Write the Equation for this line Slope = m = y-intercept = b 2 = -2 3

  7. Write an Equation in Slope-Intercept Form 11. Write the Equation for this line Slope = m = y-intercept = b 4 5 = 3

  8. Write an Equation in Slope-Intercept Form 12. Write the Equation for this line Slope = m = y-intercept = b = -2 2 = 1 4

  9. Verifying Points on a Line 13. Determine whether (3, -5) lies on the graph of y = -3x + 4 -5 = -3(3) + 4 -5 = -9 + 4 -5 = -5  Yes 14. Determine whether (8, 4) lies on the graph of 3y = 2x – 1 3(4) = 2(8) – 1 12 = 16 – 1 12 = 15  No

  10. Graphing Equations 15. You buy vegetables at a farmer’s market for $2 per pound. The equation y = 2x represents the situation where x is the number of pounds and y is the total cost of your purchase. Graph the equation. b = 0 m = 2

  11. Graphing Equations 16. Graph the equation 2y + 4x = 0 2y = -4x y = -2x b = 0 m = -2

  12. Wrap Up • Writing Equation of a line Slope-intercept Form: • Given slope and y-intercept • Given a graph • Checking if a point is on the line HW: P. 242 #1-61 EOO; P. 245 #91-101 odd DLUQ: What does the m and the b represent in the slope-intercept form?