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Chapter 3: Q 3.56. (page 284)

Find the equation of a line containing the points(-4,-3)and(1,-5).

Short Answer

Expert verified

The equation isy=-25x-235.

Step by step solution

01

Step 1. Find the slope using the given points

The given points are (-4,-3)and (1,-5).

role="math" localid="1644427397023" m=y2-y1x2-x1m=-5-(-3)1-(-4)m=-25m=-25

The slope is-25.

02

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

Let's take point (-4,-3)=(x1,y1).

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

role="math" localid="1644427530503" y-(-3)=-25(x-(-4))y+3=-25(x+4)y+3=-25x-85y=-25x-235

The equation of the line isy=-25x-235.

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