What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?

Question

asked Apr 11, 2021 9.2k views

2 Answers

Matthijs Brouns · Answer 1 · 2021-04-14T05:35:56+0000

Answer:

y =
(1)/(2) (x) - 9

Explanation:

Set the given equation to standard form: y = -2x -4

Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).

Thus, you will have y = 1/2x + b

Insert the given information: (2, -8)

-8 = 1/2 (2) + b

Half of 2 is 1: subtract it on both sides...

-8 = 1 + b

-1 -1

-9 = b

So, the equation will be y = 1/2(x) - 9