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Chapter 4: Q. 422 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope鈥搃ntercept form.

m=-32andpoint(-4,-3)

Short Answer

Expert verified

Equation of the line is y=-32x-9.

Step by step solution

01

Step 1. Given information 

We have been given:

m=-32andpoint(-4,-3)

We have to write the equation in slope鈥搃ntercept form.

02

Step 2. Use the equation of the point-slope form of the line

The point-slope formula is y-y1=m(x-x1).

y-(-3)=-32(x-(-4))y+3=-32(x+4)

03

Step 3. Write in slope-intercept form y=mx+b.

y+3=-32(x+4)2(y+3)=-3(x+4)2y+6=-3x-122y=-3x-18y=-32x-9

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