Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(2-2) ;y=-x-2
A.y=-2x
B.y=2x
C.y=1/2x
D.y=-x
I have no idea how to work this out, I have a lot of other questions that are like this so just an answer isn't really going to help me out so much. Thanks for all help given!

Answer 1

y = x - 2.....the slope here is 1. A parallel line will have the same slope

y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur parallel line is : y = x - 4