Question

what is the equation of straight line formed by (-5,2)and(3,5)?

Answer 1

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Answer 2

Find the slope of the line.

$\frac{5-2}{3-(-5)}=\frac{3}{8}$

Let (x, y) be a point on the line.

Writing the slope in terms of (x, y) and (3, 5),

$\frac{y-5}{x-3}=\frac{3}{8} \\ \\ 3(x-3)=8(y-5) \\ \\ 3x-9=8y-40 \\ \\ 3x-8y+31=0 \\ \\ 3x-8y=-31$

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