Question

An equation of a line perpendicular to the line represented by the equation y = -

1/2 x - 5 and passing through (6,4) is what?

Answer 1

`y=2x-8`

Explanation:

First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:

`y=2x+b`

Next, plug in the point that it passes through in order to find the y-intercept (b).

`4=2(6)+b`

`4=12+b`

`b=-8`

So your equation will be:

`y=2x-8`

Hope this helped!

Answer 2

y= 1/2x+1

Explanation: