Write an equation of a line passing through (2, 4), perpendicular to 10x−5y=8

assupecoitteem81 2022-11-21 Answered
Write an equation of a line passing through (2, 4), perpendicular to 10x−5y=8
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Answers (1)

Kailee Abbott
Answered 2022-11-22 Author has 14 answers
First, convert 10x−5y=8 into the form of y=mx+b
10 x - 5 y = 8
- 5 y = 8 - 10 x
y = 2 x - 8 5
The perpendicular line to y = 2 x - 8 5 will have a slope equal to - 1 2 , because perpendicular lines' slopes have a product of −1.
The new line will be
y = - 1 2 x + b
We know that it passes through (2,4), so we can plug that into the new equation.
4 = - 1 2 2 + b
4 = - 2 + b
b = 6
So, the new equation of the line will be
y = - 1 2 x + 5
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