Question

How do you graph 3x-4y=-4 for the domain D:{8,4,0,-4,-8}

Answer 1

       3x - 4y = -4
3x - 3x - 4y = -4 - 3x
             -4y = -4 - 3x
             -4y = -3x - 4
              -4         -4
                y = 0.75x + 1
D:{8, 4, 0, -4, -8}           
D{8}
y = 0.75x + 1
y = 0.75(8) + 1
y = 6 + 1
y = 7
(x, y) = (8, 7)
D{8}, R{7}

D{4}
y = 0.75x + 1
y = 0.75(4) + 1
y = 3 + 1
y = 4
(x, y) = (4, 4)
D{4}, R{4}

D{0}
y = 0.75x + 1
y = 0.75(0) + 1
y= 0 + 1
y = 1
(x, y) = (0, 1)
D{0}, R{1}

D{-4}
y = 0.75x + 1
y = 0.75(-4) + 1
y = -3 + 1
y = -2
(x, y) = (-4, -2)
D{-4}, R{-2}

D{-8}
y = 0.75x + 1
y = 0.75(-8) + 1
y = -6 + 1
y = -5
(x, y) = (-8, -5)
D{-8}, R{-5}

D{8, 4, 0, -4, -8}
R{7, 4, 1, -2, -5}
{(8, 7), (4, 4), (0, 1), (-4, -2), (-8, -5)}