Hello, Yasmine,

The line y = 4x has a slope of 4 and an intercept of zero (there is no "b" in the standard equation y = mx + b). The slope (m = 4) will be the same slope as any parallel line. Parallel lines will all have the same slope.

So let's go back to the standard format and change the m to a "4."

y = 4x + b

Now let's use the point that lies on this line and put the values into the equation and solve for "b."

-6 = 4(4) + b

-6 - 16 = b

b = -22

The equation of this parallel line is y = 4x - 22

I hope this helps,

Bob