1. 3.5 Graphing Linear Equations in Slope-Intercept Form

2. Do Now Graph 2x + 4y = 8. Find the intercepts.

3. Slope The slope m of a nonvertical line passing through two points (x 1, y 1 ) and (x 2,y 2 ) is the ratio of the rise to the run.

4. Example 1

5. Example 2

6. Example 3

7. Example 5 What is the slope of the line?

8. 4 Types of Slope Positive Slope o The line rises from left to right. Negative Slope o The line falls from left to right. Slope of 0 o The line is horizontal. Undefined Slope o The line is vertical.

9. Slope-Intercept Form Slope-intercept form is written as y= mx + b. A linear equation written in the form y = 0x + b is a constant function.

10. Steps to Using Slope- Intercept Form to Graph A)Solve for y. B)Find the slope and the y- intercept. C)Plot the y-intercept. D)Use the slope to find another point on the line.

11. Example 6 Graph 2x + y = 2.

12. Example 7 Graph y = 4x – 4.

13. Example 8 A submersible that is exploring the ocean floor begins to ascend to the surface. The elevation h (in feet) of the submersible is modeled by the function h(t) = 650t – 13,000, where t is the time (in minutes) since the submersible began to ascend. a)Graph the function and identify its domain and range. b)Interpret the slope and intercepts of the graph.