What is the equation of the line which is perpendicular to 2x+y=-42x+y=4 which passes through the point (2,-8)?(2,8)?

1 Answer
Nov 17, 2017

y = 1/2x - 9y=12x9

Explanation:

Given equation : 2x + y = - 42x+y=4

We rewrite this in Slope-Intercept form, that is;

y = -2x - 4y=2x4

The slope in this equation's case is m = -2m=2

Therefore, the slope of a line that is perpendicular to this line is going to be the negative reciprocal of the given slope.

m = -(-1/2) = 1/2m=(12)=12

The y-intercept can be determined from the coordinates provided.
(2,-8).(2,8).

Substitute the values of the x and y coordinate in its Slope-Intercept form to determine the yy-intercept:

y = mx + by=mx+b
-8 = (1/2)(2) + b8=(12)(2)+b
b = -9 b=9

Therefore, the equation of the line is y = 1/2x - 9y=12x9