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=(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=(3-9)/(22-4)=(-6)/(18) \\ m=-(1)/(3) \end{gathered}`

Recall that the slopes of parallel lines are equal.

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