Question

Find the missing coordinate given m = 4/3 and goes through the points (6, y) and (0,4).

Answer 1

Here's the slope formula we'll be using

$m=\frac{y_2-y_1}{x_2-x_1}$

The two points will give us the numbers and variable that will replace the subscripted variables in the slope equation.

$\begin{gathered} \frac{4}{3}=\frac{4-y}{0-6} \\ \frac{4}{3}=\frac{4-y}{-6} \\ \frac{4}{3}(-6)=\frac{4-y}{-6}(-6) \\ -8=4-y \\ -8-4=4-y-4 \\ -12=-y \\ y=12 \end{gathered}$

coordinate: (6,12) and (0,4)