Answer:
Step-by-step explanation:
Parallel lines have the same slope as the reference line. The reference here is:
y = 2x - 4
This is in standard form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
m, slope, is 2. The new line will have the same slope: c
Now all we need is b, the y-intercept. We can find that byu entering the given point (4,2), and solving for b.
y = 2x + b
2 = 2*4 + b
b = -6
The equation is y = 2x - 6
See the attached graph.
