What is an equation of the line that has a y-intercept of -2 and is perpendicular to the line $x-2y = 5$ ?

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Answer 1 · 2015-11-19T15:18:05

$2x+y =-2$

Write as $y_1= 1/2x -5/2$

If you have standard form of $y=mx+c$ then the gradient of its normal is $-1/m$

The gradient of a line normal to this is $-1 times (1/2)^("inverted") =-2$

As it passes through y=02 at x=0 then the equation becomes:

$y_2=-2x-2$

In same form as question gives:

$2x+y =-2$

What is an equation of the line that has a y-intercept of -2 and is perpendicular to the line x-2y = 5x-2y = 5?