Question

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

Answer 1

y=1/2x-9

Explanation:

took test

Answer 2

The slope of the line
`2 x+y=-4` is
`m=-2`.

The line perpendicular to the above line has slope
`-(1)/(m) =(1)/(2)` . Its equation is
`y=(1)/(2) x+c`. Since this line passes through,
`(2,-8)`,

`-8=(1)/(2) (2)+c\\c=-9`

Thus the equation of the line in slope intercept form is
`y=(1)/(2) x-9`