Question

What equation models the line that goes through the point (12,3) and has a slope of3(4) U-YВya-1043T©1-

Answer 1

Explanation

Given the point (12,3) and a slope of -1/3, the equation of the line can be gotten using the formula below.

$m=\frac{y-y_1}{x-x_1}$

Therefore,

$\begin{gathered} -\frac{1}{3}=\frac{y-3}{x-12} \\ -x+12=3y-9 \\ 3y=-x+12+9 \\ 3y=-x+21 \\ y=\frac{-x+21}{3} \\ y=-\frac{x}{3}+_{}7 \end{gathered}$

Answer

$y=-\frac{x}{3}+7$