Find an equation for the line that passes through the points ( 3,−6) and (−5,−2) .

The equation would be y = -1/2 - 9/2 

I'm not the -9/2 is 100% correct because I didn't use a coordinate grid to do it, I made a graph myself, so 4 1/2 is a rough estimate of what the y intercept would be.

Hey there!

Okay let's get to this problem!

First we need to solve for the slope...

m = (-2 + 6) / (-5 - 3)
m = 4/-8
m = -1/2  

Next we use the point-slope equation to find the equation of the line

(y - y₁) = m(x - x₁)
(y + 2) = -1/2(x + 5)
y = (-x/2) - (9/2)     < There's your answer!

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Any pictures or something i need more info