Answer:
the desired equation is y = 3x - 5
Step-by-step explanation:
The correct form of this equation is y = mx + b, where m is the slope and b is the y-intercept.
Any line parallel to the given y = 3x + 6 has an equation of exactly the same form except for the y-intercept (b = 6).
We must find an appropriate y-intercept. To do this, substitute 4 for x and 7 for y in y = 3x + C: 7 = 3(4) + C, or 7 = 12 + C, or C = -5.
Then the desired equation is y = 3x - 5
