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Chapter 3: Q 178. (page 292)

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

m=-4, point-2,-3.

Short Answer

Expert verified

Equation of the line in slope-intercept form isy=-4x-11.

Step by step solution

01

Step 1. Given information.

Slope of the linem=-4and the line passes through-2,-3.

02

Step 2. Substitute the values into the point-slope form.

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

Here, x1,y1=-2,-3.

Substitute the values and simplify.

y-y1=mx-x1y--3=-4x--2y+3=-4x-8

03

Step 3. Write the equation in slope-intercept form.

Slope-intercept form is y=mx+b.

Therefore, equation of the line in slope-intercept form isy=-4x-11.

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