1. Lesson 11.7 Slope-Intercept Form
Essential Question: How do you write and graph equations in slope-intercept form?

2. Before we start… Make a table of values for the equation 𝑦=4𝑥+3
Plot the points and draw a line.
Use the graph to find the slope and the y-intercept.

3. What is slope-intercept form?
y = mx + b where m is the slope and b is the y-intercept of the equation’s graph.

6. An equation needs to be in slope-intercept form to identify the slope and y-intercept.
If it is not, you have to rewrite the equation by solving for y.

7. Identify the slope and y-intercept

8. Identify the slope and y-intercept

9. Identify the slope and y-intercept

10. Identify the slope and y-intercept

11. Identify the slope and y-intercept

12. How do I graph an equation in slope-intercept form?
Make sure the equation is in slope-intercept form
y = mx + b
Identify the y-intercept and plot it.
Identify the slope.
Use the slope to plot another point.
Draw a line through your points.

13. Graph 𝑦= 1 2 𝑥+3

17. Graph 𝑦=5𝑥

21. How do you write an equation in slope-intercept form?
Use the form 𝑦=𝑚𝑥+𝑏
Replace m with the rate of change (slope).
Replace b with the initial condition (y-intercept).

22. Hiking You are at the base of a trail on Mount Rainier in Washington
Hiking You are at the base of a trail on Mount Rainier in Washington. The temperature is 50.9°F. The temperature changes at a rate of °F per foot of elevation as you hike up. What is the temperature 1000 feet above the base?

23. Snake A 7 foot long python is growing 1 2 foot per year
Snake A 7 foot long python is growing foot per year. Write an equation for its length in x years. What is its length in 10 years?

24. Canoe Rental You pay $9 per hour to rent a canoe
Canoe Rental You pay $9 per hour to rent a canoe. The cost for a ride back to the starting point is $12. Write an equation for the cost of renting a canoe. How much will you pay to rent a canoe for 5 hours?

25. How do you write and graph equations in slope-intercept form?

26. Ticket Out the Door
Identify the slope and the y-intercept. 𝑦−9=− 3 4 𝑥