Find the equation of the line that is parallel to the line y = 3x - 4 and passes through the point (12,-39), Show your steps and/or explain your reasoning,

y = 3x - 75

Step-by-step 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

d

step-by-step explanation:

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