3.5 Graphing Linear Equations in Slope-Intercept Form.

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Presentation transcript:

3.5 Graphing Linear Equations in Slope-Intercept Form

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

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.

Example 1

Example 2

Example 3

Example 5 What is the slope of the line?

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.

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.

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.

Example 6 Graph 2x + y = 2.

Example 7 Graph y = 4x – 4.

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.