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Chapter 4: Q. 417 (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=-13andpoint(-9,-8)

Short Answer

Expert verified

Equation of the line is y=-13x-11.

Step by step solution

01

Step 1. Given information 

We have been given:

m=-13andpoint(-9,-8)

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-(-8)=-13(x-(-9))y+8=-13(x+9)

03

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

y+8=-13(x+9)3(y+8)=-1(x+9)3y+24=-x-93y=-x-33y=-13x-11

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