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

1 Answer
Nov 17, 2017

y=12x9

Explanation:

Given equation : 2x+y=4

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

y=2x4

The slope in this equation's case is m=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=(12)=12

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

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

y=mx+b
8=(12)(2)+b
b=9

Therefore, the equation of the line is y=12x9