4.5 SlopeIntercept Form - Middle School Homeorecreek.hartlandschools.us/subsites/Annette... · (5,...
Transcript of 4.5 SlopeIntercept Form - Middle School Homeorecreek.hartlandschools.us/subsites/Annette... · (5,...
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.