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777dan777 [17]
2 years ago
11

IT'S URGENT PLEASEE What is the slope of a line perpendicular to the line 2y = 3x - 10?

Mathematics
2 answers:
sashaice [31]2 years ago
6 0
Perpendicular slope is -2/3
belka [17]2 years ago
5 0
<h3>Answer:  perpendicular slope is -2/3</h3>

=================================================

Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

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