Question

Write the equation of the line that passes through the given points:


(-2, -1) and (-4, -6)

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Answer 1

Answer:

y+1=5/2(x+2)

Explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-1))/(-4-(-2))

m=(-6+1)/(-4+2)

m=-5/-2

m=5/2

y-y1=m(x-x1)

y-(-1)=5/2(x-(-2))

y+1=5/2(x+2)

Answer 2

Answer:

$y=\frac{5}{2}x+4$

Explanation:

The image below shows proof that the equation $y=\frac{5}{2}x+4$ is the line that passes through the points (-2, -1) and (-4, -6).

Hope this helps! :)