Hello Dramell,
The line will have the same slope as the line y = -5x + 4 because you're told the two lines are parallel.
So y = -5x + b and now let's find b. For that, you simply replace x and y by the coordinates of the point (1,2) because the line passes through that point.
So plugging 1 and 2 for x and y: 2 = -5(1) + b ----> 2 = -5 + b
Add 5 to both sides: 7 = b
You now have a final answer. The line that passes through (1,2) and is parallel to the line y=−5x+4 has an equation y = -5x +7
