The given line y = 2x-4 has a slope of m = 2 as it is in the form y = mx+b m = slope b = y intercept
Anything parallel to the given line will also have a slope of m = 2 as well. Parallel lines have equal slopes.
The given point is (x,y) = (-3,5) so x = -3 and y = 5 pair up
We will plug m = 2, x = -3 and y = 5 into the equation below and solve for b y = m*x+b 5 = 2*(-3)+b 5 = -6+b 5+6 = -6+b+6 ... add 6 to both sides 11 = b b = 11
Because m = 2 and b = 11, this means we have y = mx+b update to y = 2x+11 which is the final answer
