An equation of a line through (2,4) which is perpendicular to the line y=2x+2 has slope:

Answer 1

a line through (2,4) perpendicular to y=2x + 2

is y=mx + b where m=-1/2 the inverse of 2, and b= the y intercept

to solve for b plug in the point (2,4)

4 = (-1/2)2 + b

b = 4+1 = 5

y=(-1/2)x + 5 in slope intercept form or

y=-x/2 + 5

or

2y=-x + 10

x+2y = 10 is the line perpendicular to the given equation and passing through (2,4)