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

Question

3354 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-17T19:48:36

$y = 1/2x - 9$

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

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

$y = -2x - 4$

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.

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

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:

$y = mx + b$
$-8 = (1/2)(2) + b$
$b = -9$

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

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)?