Question

In the diagram pq and St find the slope of st

Answer 1

`m_(ST)=-1`

1) Looking at that diagram, we can see that Point S shares the same x-coordinate from point Q since they are on the same Vertical Line. So, it's safe to say that the x-coordinate of Point S is x=-2

2) And point S is at the same horizontal axis of point P. So for the same principle, we can say that the y-coordinate of point S is y=4

S(-2,4)

3) So let's find the Fourth point of that figure, so let's find the slope of PQ

`\begin{gathered} m_(PQ)=(4-1)/(1-(-2))=(3)/(-1+2)=(3)/(3)=1 \\ \\ m_(ST)=-1 \end{gathered}`

Since PQ is perpendicular to ST then the slope is the opposite reciprocal of 1, i.e. -1