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5.2 Slope-Intercept Form. Objective: SWBAT write an equation in slope-intercept form given a graph or a slope and y-intercept. Mini Quiz 41. 1. Find the slope of the line passing through the points (-8, -5) and (3, -5).

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5 2 slope intercept form

5.2 Slope-Intercept Form

Objective: SWBAT write an equation in slope-intercept form given a graph or a slope and y-intercept

mini quiz 41
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).

quick review
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)

slope intercept form
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

write the equation in slope intercept form
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

write an equation in slope intercept form
Write an Equation in Slope-Intercept Form

10. Write the Equation for this line

Slope = m =

y-intercept = b

2

= -2

3

write an equation in slope intercept form1
Write an Equation in Slope-Intercept Form

11. Write the Equation for this line

Slope = m =

y-intercept = b

4

5

= 3

write an equation in slope intercept form2
Write an Equation in Slope-Intercept Form

12. Write the Equation for this line

Slope = m =

y-intercept = b

= -2

2

= 1

4

verifying points on a line
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

graphing equations
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

graphing equations1
Graphing Equations

16. Graph the equation 2y + 4x = 0

2y = -4x

y = -2x

b = 0

m = -2

wrap up
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?