Answer:
y = 3x - 75
Explanation:
Parallel lines have the same slope. If the given linear equation has a slope of 3, then it means that the slope of the other line must also be 3.
In order to determine the equation of the line parallel to y = 3x - 4, use the given slope, m = 3, and the point (12, -39). Substituting their values into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
-39 = 3(12) + b
-39 = 36 + b
Subtract 36 from both sides:
-39 - 36 = 36 - 36 + b
-75 = b
Therefore, the equation of the line parallel to y = 3x - 4 is:
y = 3x - 75