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Chapter 3: Q 162. (page 291)

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope-4and y-intercept0,0.

Short Answer

Expert verified

Slope intercept form of the line isy=-4x.

Step by step solution

01

Step 1. Given information.

Slope is-4and y-intercept is0,0.

02

Step 2. Identify the slope and points.

Slope is-4and pointx1,y1=0,0.

03

Step 3. Substitute the values in point-slope form.

Point-slope form is y-y1=mx-x1.

Now, substitute the values.

localid="1644385057994" y-0=-4x-0y=-4x

04

Step 4. Write the slope intercept form.

Slope intercept form of the line whose slope is-4and y-intercept0,0isy=-4x.

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

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In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=-1 andy=2

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