Notes 4.5 partial completion.notebook

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December 01, 2016

4.5 Slope­Intercept Form

♦I can graph a line given the slope and y­intercept♦♦ I can identify the slope and y­intercept given an equation♦

♦I can graph a line in slope­intercept form ♦♦I can write an equation in slope intercept form given the slope and y­intercept♦

♦I can write an equation in slope intercept form given a graph♦♦I can write an equation in slope intercept form given the slope and a point on the line♦

♦ I can write an equation in slope­intercept form given a point and the y­intercept♦♦ I can write and graph a real world situation using slope intercept form♦

If a line has a slope (m) and the y-intercept is b, then the line is described by the equation.......

y = mx + b

Slope­Intercept Form

Notes 4.5 partial completion.notebook

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December 01, 2016

♦I can graph a line given the slope and y­intercept♦Example 1: Graph the line with the given slope and y­intercept.

a. slope = 2; y­int. = −3 b. slope = −2; (0, 4) c. m = −3/4; b = 1

♦ I can identify the slope and y­intercept given an equation♦♦I can graph a line in slope­intercept form ♦

Example 2: Write each equation in slope­intercept form. Then graph the line described by the equation.

a. y = 4x – 3 b.

b.

Notes 4.5 partial completion.notebook

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December 01, 2016

c. y = 3x + 1 d. 3x + 2y = 8

Checkpoint: Write each equation in slope­intercept form. Then graph the line described by the equation.

3. 6x + 2y = 102. y = –4 1.

Notes 4.5 partial completion.notebook

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December 01, 2016

♦I can write an equation in slope intercept form given the slope and y­intercept♦♦I can write an equation in slope intercept form given a graph♦

Example 3: Write an equation that describes each line in slope­intercept form.

a. Slope = –3; y­intercept = 4 b. m = ¾; b = −2

c.

Partner Check: Write the equation that describes each line in slope­intercept form.

slope = ½, y­int. = –3

Notes 4.5 partial completion.notebook

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December 01, 2016

♦I can write an equation in slope intercept form given the slope and a point on the line♦♦ I can write an equation in slope­intercept form given a point and the y­intercept♦

Example 4: Write an equation that describes each line in slope­intercept form.

a. Slope = 4; (2, 5) is on the line b. (5, 4) and (0, 8)

♦I can write an equation in slope intercept form given the slope and a point on the line♦♦ I can write an equation in slope­intercept form given a point and the y­intercept♦

Partner Check: Write an equation that describes each line in slope­intercept form.

Slope = 8; (–3, 1) is on the line (–3, 1) and (0, 25)

Notes 4.5 partial completion.notebook

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December 01, 2016

♦ I can write and graph a real world situation using slope intercept form♦

Example 5: To rent a van, a moving company charges $30.00 plus $0.50 per mile. The cost as a function of the number of miles driven is shown in the graph. a. Write an equation that represents the cost as a function of the number of miles.

b. Identify the slope and y­intercept and describe their meanings.

c. Find the cost of the van for 150 miles.