Question

a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?

Answer 1

y = 1/2x + 4

Explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4