Question

How to find the slope I know they are the same but that’s it.

Answer 1

Given two parallel lines, and two points on one of the lines

To Determine: The slope of the given line, and the graph of the perpendicular line to the given line

Solution:

From the given line, two points on the first line are

`\begin{gathered} A(2,9) \\ B(-2,6) \end{gathered}`

The slope of any given line with two points is calculated using the formula below:

`\begin{gathered} (x_1,y_1);(x_2,y_2) \\ s=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Using the two given points, the slope of the given line would be

`\begin{gathered} s=(6-9)/(-2-2) \\ s=(-3)/(-4) \\ s=(3)/(4) \end{gathered}`

Hence, the slope of the given line is 3/4

Note that the slope of a perpendicular line to any given line is the negative inverse of the given line.

If s is the slope of the given line and m is the slope of the perpendicular line