Answer:
a) Only the set of ordered pairs {(0,3), (1, 6), (2, 9)) satisfies the
equation y - 3 = 3x
Step-by-step explanation:
Here, the given equation is : y - 3 = 3x
or , y - 3 x = 3
Now, check the value of equation for first ordered pair in each set.
a) {(0,3), (1, 6), (2, 9)) : Checking for (0.3)
y - 3x = 3 - 3(0) = 3
and 3 = 3 = Right side
Hence, {(0,3), (1, 6), (2, 9)) satisfies the equation.
b) {(3,0), (6, 1), (9, 2)} : Checking for (3,0)
y - 3x = 0 - 3(3) = -9
and -9 ≠ 3 (Right side)
Hence, {(3,0), (6, 1), (9, 2)} do NOT satisfy the equation.
c) {(1,3), (2,6), (3,9)} : Checking for (1,3)
y - 3x = 3 - 3(1) = 3 - 3 = 0
and 0 ≠ 3 (Right side)
Hence,{(1,3), (2,6), (3,9) } do NOT satisfy the equation.
d) {(3, 1), (6,2), (9,3)} : Checking for (3,1)
y - 3x = 1 - 3(3) = 1 - 9 = -8
and -8 ≠ 3 (Right side)
Hence,{(3, 1), (6,2), (9,3)} do NOT satisfy the equation.
