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Do Now Graph 2x + 4y = 8. Find the intercepts.. 3.5 Graphing Linear Equations in Slope-Intercept Form.

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Presentation on theme: "Do Now Graph 2x + 4y = 8. Find the intercepts.. 3.5 Graphing Linear Equations in Slope-Intercept Form."— Presentation transcript:

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

2 3.5 Graphing Linear Equations in Slope-Intercept Form

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

5 4 Types of Slope Positive: The line rises from left to right. Negative: The line falls from left to right. Zero: Horizontal Line Undefined Vertical Line

6 Example 1

7 Example 2

8 Example 3

9 Example 4 What is the slope of the line?

10 Time to…. PRACTICE PRACTICE PRACTICE

11 3.5 Day 2 Slope-Intercept Form

12 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.

13 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.

14 Example 6 Graph 2x + y = 2.

15 Example 7 Graph y = 4x – 4.

16 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.


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