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What is an
equation of the line that passes through the points (-4, 2) and
(-8, -3)?

User Ben Harper
by
8.9k points

1 Answer

2 votes

Answer:


y = 1(1)/(4)x+7

Explanation:

The equation of a straight line can be written as
y=mx+b.

With the pair of coordinates (coordinates are written in the form
(x,y) ) , the following can be written:


2=-4m+b


-3=-8m+b

To solve for a variable, we can use elimination:


-4m+b-(-8m+b)=2-(-3) (subtract the second equation from the first)


-4m+b+8m-b=2+3


4m=5 (
b is eliminated)


m=(5)/(4)


=1(1)/(4)

To solve for the other variable, we can use substitution:


2=-4m+b


2=-4(1(1)/(4))+b


2 = -5 + b


b = 7


\therefore y=1(1)/(4)x+7 is the linear equation for the line that passes through the points
(-4, 2) and
(-8,-3)

User Mukesh Jha
by
7.9k points

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