Answer:
y +3 = -5/6(x -12)
Step-by-step explanation:
You want an equation for a line through the point (12, -3) that is parallel to the line y = -5/6x -3.
The slope of the given line is the coefficient of x: -5/6. The slope of a parallel line will be the same.
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the equation for the line with slope -5/6 through point (12, -3) is ...
y +3 = -5/6(x -12)