Find the slope of the line perpendicular to 4x+2y=10

Audrey Mckee 2022-09-12 Answered
Find the slope of the line perpendicular to 4x+2y=10
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Answers (1)

Aubrie Conley
Answered 2022-09-13 Author has 13 answers
The Product of the Slopes of 2 Perpendicular Lines is always −1
So let's find the Slope of the given line first
The equation of the line is 4x+2y=10
The Slope Intercept form of the equation of a given line is y=mx+c where m is its slope, and c is its Y intercept.
To get the slope intercept form of the given line, we transpose 4x to the other side. We get
2y=−4x+10
Dividing both sides of the equation by 2, we get:
y=−2x+5
The Slope of the given line is −2. Let's call it m 1 . And let the slope of the line Perpendicular to this line be called m 2
As the Product of the Slopes of 2 Perpendicular Lines is −1, we can say that
m 1 m 2 = - 1
( - 2 ) m 2 = - 1
m 2 = 1 2

The Slope of the line Perpendicular to 4x+2y=10 is 1 2

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