Question

Find a perpendicular slope to the two points given (6, -12) (15, -3)

Answer 1

-1

Step-by-step explanation:

Given the points 6, -12) and (15, -3)​.

The slope of the line joining the two points is calculated below:

`\begin{gathered} \text{Slope}=(-3-(-12))/(15-6) \\ =(-3+12)/(9) \\ =(9)/(9) \\ =1 \end{gathered}`

Next, we determine the perpendicular slope.

Definition: Two lines are perpendicular if the product of their slopes is -1.

Let the perpendicular slope = m

`\begin{gathered} m*1=-1 \\ m=-1 \end{gathered}`

The perpendicular slope is -1.