Write an equation that is parallel to y = 3x and passes through (-4 , -3)

The slopes of two parallel lines must be identical.

We have slope , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, , where our point  is substituted for .



Now, we convert to slope-intercept form as such.



And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.