Question

The equation of a line is y=1/2x-2. What is the equation of the line that is perpendicular to the first line and passes through the point (2, –2)? A. y = 2x – 2

Answer 1

y=mx+b
m=slope

perpendicular has slope that multpilies to -1
y=1/2x-2
1/2 times what=-1?
-2/1 or -2 is answer

y=-2x+b
find b
(2,-2)
(x,y)
x=2, y=-2
sub those
-2=-2(2)+b
-2=-4+b
add 4 to to both sides
2=b

the equation is y=-2x+2