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 Slope y-intercept
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 =
-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 #1-61 EOO;
P # odd
DLUQ: What does the m and the b represent in the slope-intercept form?