Question

how do you find the value of x or y so that the line through the pair of point has the given slope (x,3) and (5,9) m=2

Answer 1

well, keep in mind that \(\bf slope = \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1} = 2\\
\color{blue}{(x_1, y_1) = (x, 3) \qquad \qquad (x_2, y_2) = (5, 9)}\\
\cfrac{y_2-y_1}{x_2-x_1} \implies \cfrac{9-3}{5-x} = 2\)

solve for "x"