Answer:
y=-4x+1
Step-by-step explanation:
we know that parallel lines have equal slopes
first, we need to put 4x+y=4 into y=mx+b form
4x+y=4
-4x -4x
y=-4x+4
this means we have a slope of -4
we now know the new slope has to be -4
since we are given a point, we can put this into slope point form
the equation for this is y-y1=m(x-x1) with m posing as our slope
now we plug in
y--3=-4(x-1)
y+3=-4x+4
-3 -3
y=-4x+1
we now know the y-intercept is 1