Question

Write an equation of the line perpendicular to the give line that contains p.

P(7,-5);y= 1/2x+4

Write and equation for the line in point-slope form.

Answer 1

y + 5 = -2(x - 7)

Explanation:

The slope of the line y = (1/2)x + 4 is 1/2. Any line perpendicular to this one will have a slope which is the negative reciprocal of 1/2: -2.

Using the point-slope form, the desired equation is:

y + 5 = -2(x - 7)