Slope-Intercept Form.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Slope-Intercept Form

Objectives Write a linear equation in slope-intercept form. Graph a line using slope-intercept form.

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope of the line.

Graph the line given the slope and y-intercept. Example 1 Graph the line given the slope and y-intercept. y intercept = 4 y • •

Example 2 Graph the line given the slope and y-intercept. slope = 4; y-intercept =

Example 3 Graph the line given the slope and y-intercept. slope = 2, y-intercept = –3

Example 4 Graph each line given the slope and y-intercept. slope = , y-intercept = 1

Any linear equation can be written in slope-intercept form by solving for y and simplifying. In this form, you can immediately see the slope and y-intercept. Also, you can quickly graph a line when the equation is written in slope-intercept form.

Example 5 Write the equation that describes the line in slope-intercept form. slope = ; y-intercept = 4

Example 6 Write the equation that describes the line in slope-intercept form. slope = –9; y-intercept =

Example 7 Write the equation that describes the line in slope-intercept form. slope = 3; y-intercept =

Example 8 Write the equation that describes the line in slope-intercept form. slope = ; y-intercept = –6

Example 9 Write the equation that describes the line in slope-intercept form. slope = 2; (3, 4) is on the line

Example 10 A line has a slope of 8 and (3, –1) is on the line. Write the equation that describes this line in slope-intercept form.

Example 11 A line has a slope of ½ and (2, 4) is on the line. Write the equation that describes this line in slope-intercept form.

Example 12 A line has a slope of -2 and (-2, –5) is on the line. Write the equation that describes this line in slope-intercept form.

Example 13 Write the equation in slope-intercept form. Then graph the line described by the equation. y = 3x – 1

Example 14 Write the equation in slope-intercept form. Then graph the line described by the equation. 2y + 3x = 6

Example 15 Write the equation in slope-intercept form. Then graph the line described by the equation.

Example 15 Write the equation in slope-intercept form. Then graph the line described by the equation. 6x + 2y = 10

Example 16 Write the equation in slope-intercept form. Then graph the line described by the equation. y = –4

Homework Worksheet