Find the slope that is perpendicular to the line 4x−8y=−1

jorgejasso85xvx

jorgejasso85xvx

Answered question

2022-11-05

Find the slope that is perpendicular to the line 4x−8y=−1

Answer & Explanation

Kaeden Lara

Kaeden Lara

Beginner2022-11-06Added 23 answers

Recall that we can perform operations on an equation as long as we do the same thing to both sides.
Add 8y to both sides:
4x=8y−1
Add 1 to both sides:
4x+1=8y
Divide both sides by 8:
y = 1 2 x + 1 8
This is now in standard form y=mx+c so we can read off that the slope of our original line is 1 2 .
Now, an important and useful fact is that the product of two perpendicular gradients is always equal to −1. This means that if we know a slope, we can work out a slope that will be perpendicular to it.
m 1 m 2 = - 1
m 2 = - 1 m 1
m 1 = 1 2 m 2 = - 2

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