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=(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} (4)/(3)=(4-y)/(0-6) \\ (4)/(3)=(4-y)/(-6) \\ (4)/(3)(-6)=(4-y)/(-6)(-6) \\ -8=4-y \\ -8-4=4-y-4 \\ -12=-y \\ y=12 \end{gathered}`

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