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Chapter 3: Q 3.52. (page 282)

Find the equation of a line with slopem=-34, and containing the point(4,-7).

Short Answer

Expert verified

The equation isy=-34x-4.

Step by step solution

01

Step 1. Use the point-slope form 

The point-slope form of an equation of a line with slopem and containing the point(x1,y1)isy-y1=m(x-x1).

02

Step 2. Identify the slope and the point 

The slope is:

m=-34

The point is:

(x1,y1)=(4,-7)

03

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

y-y1=m(x-x1)y-(-7)=-34(x-4)y+7=-34x+3y=-34x-4

The equation of line isy=-34x-4

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