Question

What is the equation of the line that goes through (4,6) and is perpendicular to y= -1/2x +3? Showing steps

Answer 1

y = 2x - 2

Explanation:

A line perpendicular to y= -1/2x +3 has slope 2, which is the "negative reciprocal" of the given slope -1/2.

Start with y = mx + b. This new line passes thru (4, 6) and has slope 2.

Then: 6 = 2(4) + b, or b = -2.

The desired equation is y = 2x - 2.

Answer 2

y=1/2x+4

Explanation:

a perpandicular line can be made by just making the x negative, or , since it's already negtive, positive.

so i'll start with

y=1/2x+k (just basic equation w no values)

6=2+k (adding values of the coordinate)

4=k (simplifying)

y=1/2x+4 (plugging k back in to the equation)