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Chapter 3: Q 159. (page 291)

Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.

slope 15and y-intercept 0,-5.

Short Answer

Expert verified

Equation of the line in slope Intercept form is y=15x-5.

Step by step solution

01

Step 1. Given information.

Slope 15 and y-intercept 0,-5.

Slope intercept form is y=mx+cwhere m is the slope and c the y-intercept.

02

Step 2. Identify the slope and point.

Slope is15and pointx1,y1=0,-5.

03

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

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

Now, substitute the values.

localid="1644383612752" y--5=15x-0y+5=15x

04

Step 4. Write the equation in slope-intercept form.

Equation of the line with slope 15 and y-intercept 0,-5is y=15x-5.

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