Step-by-step explanation:
y-1 = 4(x+3)
Put this into slope intercept form y=mx+b
y-1=4x+12
y =4x+13
the slope is 4
parallel lines have same slope so you want
equation for line with slope m=4
through (4,32)
y=4x+b using (4,32) for (x,y) solve for b
32=4(4)+b
32=16+b
16=b
your equation is
y = 4x + 16