Answer:
y = 3x - 5
Step-by-step explanation:
The given line, y = 3x + 6, has a slope of 3. So does the new (desired) line:
y = 3x + C. We need to determine the y-intercept, C, for the line with slope 3 and passing through (4, 7):
7 = 3(4) + C, or 7 = 12 + C. Then C = -5, and the desired equation is
y = 3x - 5
