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Chapter 3: Q 3.55. (page 284)

Find the equation of a line containing the points(-2,-4)and(1,-3).

Short Answer

Expert verified

The equation isy=13x-103.

Step by step solution

01

Step 1. Find the slope using the given points

The given points are (-2,-4)and (1,-3).

role="math" localid="1644425743736" m=y2-y1x2-x1m=(-3)-(-4)1-(-2)m=13

Slope is13.

02

Step 2. Choose any one point and substitute the values into the point-slope form

Let's take point (1,-3)=(x1,y1)

Point-slope form is y-y1=m(x-x1).

y-(-3)=13(x-1)y+3=13x-13y=13x-103

The equation of the line isy=13x-103.

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