Write an equation parallel to the line y=4x+1 that passes through the point 2, 0

write an equation for the line perpendicular to y=4x+1 that passes through the point 0,-3

Paralell has same slope
perpendicular has slope that multiplies to -1

y=mx+b
m=slope

y=4x+1
paralell is
y=4x+b
find b
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8
-8=b
y=4x-8

perpendicular
4 times what=-1
-1/4
y=-1/4x+b
(0,-3)
x=0
y=-3
-3=-1/4(0)+b
-3=b
y=-1/4x-3

paralel to y=4x+1 and goes through (2,0) is y=4x-8
perpendicular to y=4x+1 and goes through (0,-3) is y=-1/4x-3