Question

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

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

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Answer 1

`y=(5)/(2)x+4`

Step-by-step explanation:

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

Hope this helps! :)

Answer 2

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

Step-by-step 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)