Question

What is the equation of a line perpendicular to `y=-2x+3`?

Answer 1

`y=\frac{1}{2}x+3`

Explanation:

The equation is given in slop-intercept form, `y=mx+b`, so the slope is `-2`.

Perpendicular lines have slopes that are negative reciprocals of each other.

So the slope of the line perp. to the one given would be `\frac{1}{2}`. Everything else stays the same.

The perp. line’s equation is `y=\frac{1}{2}x+3`.