Question

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C

Answer 1

Answer:

11x - y = -79

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the points (-7, 2) and (-8, -9). Substitute:

$m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11$

$y-2=11(x-(-7))\\\\y-2=11(x+7)$

Convert to the standard form:

$y-2=11(x+7)$           use the distributive property a(b + c) = ab + ac

$y-2=11x+77$            add 2 to both sides

$y=11x+79$           subtract 11x from both sides

$-11x+y=79$        change the signs

$11x-y=-79$