What is the equation of the parallel line that goes through (-1,2) with an equation of y=4x-5

Remember, a parallel line has the same slope.

Remember, equation y=mx+b, where m is the slope and b is the y-intercept.

Thus the equation starts with y=4x.

Now, we have to find when x=0. We know rise over run, so rise 4 over run 1.

x = - 1+1 = 0

y = 2+4 = 6

(0, 6)

Now we know the equation of the parallel line that goes through (-1, 2) is y=4x+6.