What is the equation of the line passing through the points $(4, -5)$ and $(2,-7)$ ?

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Answer 1 · 2018-08-02T10:01:27

$y=x-9$

First you need to find the gradient of the line

$m=(-5+7)/(4-2)=2/2=1$

Then, using the point gradient formula

$y-y_1=m(x-x_1)$
where $(x_1,y_1)$ can be either point and $m$ is the gradient

So, I'm using the point $(4,-5)$

$(y+5)=1(x-4)$

$y+5=x-4$

$y=x-9$

What is the equation of the line passing through the points (4, -5)(4, -5) and (2,-7)(2,-7)?