Because the line PQ is perpendicular to line ST, the slope of line ST is -1
How to determine the slope of ST?
The points are given as
P = (1, 4)
Q = (-2, 1)
Start by calculating the slope (m) of ST using
m = (y2 - y1)/(x2 - x1)
This gives
m = (1 - 4)/(-2 - 1)
Evaluate the difference
m = -3/-3
Evaluate the quotient
m = 1
From the question, we have
Line PQ is perpendicular to line ST
This means that
Slope of ST = -1/Slope of PQ
This gives
Slope of ST = -1/1
Evaluate
Slope of ST = -1
Hence, the slope of line ST is -1
Read more about slopes at:
https://brainly.com/question/3493733
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