Find the slope of a line perpendicular to the line to the line through the points (7,-10) and (6,-1)

pobi1k

pobi1k

Answered question

2022-09-14

Find the slope of a line perpendicular to the line to the line through the points (7,-10) and (6,-1)

Answer & Explanation

rougertl

rougertl

Beginner2022-09-15Added 16 answers

Let's begin by finding the slope of the line through the two points, (7,−10) and (6,−1)
Slope is The change in y rise over the change in x run.
m = Δ y Δ x
and can be found using the equation
m = y 2 - y 1 x 2 - x 1
For the points given the coordinates are
x 1 = 7
y 1 = - 10
x 2 = 6
y 2 = - 1
Plug in the values and solve for slope
m = - 1 - ( - 10 ) 6 - 7
m = 9 - 1
m = - 9
The line perpendicular to this line would have a slope that is the inverse of this line. Both in sign and reciprocal.
#m - 1/9

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