The line with equation y=hx+k passes through the point (−6,4) and is parallel to the line with equation y=12x+4. What is the value of k?
when two lines are parallel, their slopes are the same
hence h, in the equation y = hx + k, would be 12
to find k, you'd substitue point (-6, 4) into the existing equation:
y = 12x + k
4 = 12(-6) + k
4 = -72 + k
k = 76
so the value of k is 76
(the equation of the line would thus be y = 12x + 76)