Question

The line containing (9, x) and (3, 6) has slope of x/-3 Find the value of x.

Answer 1

$\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \frac{x}{-3}=\frac{6-x}{3-9} \\ \frac{x}{-3}=\frac{6-x}{-6} \\ -6x=-18+3x \\ 9x=18 \\ x=2 \end{gathered}$