Question

Determine whether the pair of lines y - 1 = -4x and y = 4x + 1 are parallel, intersect, or coincide

Answer 1

A good place to start is getting your first equation into the standard y=mx+b form.
It would be y=-4x+1 and y=4x-1
Then we can set them equal to each other, solve for x, and see what happens.
-4x+1=4x-1
1=8x-1
2=8x
X=1/4
Now to solve for the y value you plug .25 in for x in either equation. You’ll get zero. Therefore your lines will intersect at (.25,0)
Hope this helped!