Question

Line b and line c are perpendicular at the point (4,2). If the equation of line b is y=2x, what is the equation for line c?

Answer 1

The equation of line C would be y = -1/2x + 4

Explanation:

To find the equation, we first need to find the slope. Since the original line has a slope of 2 and all perpendicular lines have opposite and reciprocal slopes, we know the new line to have a slope of -1/2.

Now we use that along with the given point in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/2(x - 4)

y - 2 = -1/2x + 2

y = -1/2x + 4