Question

Find the slope of a line parallel to the line that passes through the points (4,9) and (22,3).

Answer 1

The formula used to calculate the slope of a line is given to be:

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

The points that the line passes through are:

$\begin{gathered} (x_1,y_1)=(4,9) \\ (x_2,y_2)=(22,3) \end{gathered}$

Therefore, the slope of the line is given to be:

$\begin{gathered} m=\frac{3-9}{22-4}=\frac{-6}{18} \\ m=-\frac{1}{3} \end{gathered}$

Recall that the slopes of parallel lines are equal.

Therefore, the slope of the parallel line is -1/3.