Answer:
y = 4x + 1
Step-by-step explanation:
1. Solve given equation for y
4x-y=2
4x=y+2
y=4x-2
2. Parallel in linear equations means the new line will have the same slope, so your new equation so far is
y=4x+b (formula being used is linear function y=mx+b)
3. (-1,-3) is a coordinate (x,y), so plug those values in for x and y so the only variable in your equation is b, the y-intercept
-3=4(-1)+b Solve for b
-3=-4+b
1=b
4. Rewrite your new equation with the m and b you now know
y=4x+1