How do you write an equation of a line given (-20,-10) and (5,15)?

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Answer 1 · 2018-06-20T15:21:12

$(y- -10)(5 - -20) = (x - -20)(15 - -10)$

$25(y+10)=25(x+20)$

$y=x+10$

Answer 2 · 2018-06-20T15:32:35

Convert the equation into two-point slope form:
$y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_2)$ .

The resulting equation being:
$y+10=x-5$

Let $P_1$ be $(-20,-10)$ , with $x_1=-20$ and $y_1=-10$ ,
$P_2$ be $(5,15)$ , with $x_2=5$ and $y_2=15$ ,

By substitution,

$y-(-10)=(15-(-10))/(5-(-20)) (x-5)$

In evaluating,

$y+10=25/25(x-5)$

Further into:

$y+10=x-5$ which serves as the final answer.