Question

which set of ordered pairs is made up of points on the graph of the function below?
y = -2x + 4
a. (6,-1), (4,0), (1,2), (2,0)
b. (-1,6), (4,0), (1,2), (0,2)
c. (6,-1), (4,0), (2,1), (0,2)
d. (-1,6), (0,4), (1,2), (2,0)

Explanation:

Step1: Check each ordered pair in Option D

For \( x = -1 \), substitute into \( y = -2x + 4 \):
\( y = -2(-1) + 4 = 2 + 4 = 6 \), so \((-1, 6)\) is valid.

Step2: Check \( x = 0 \)

Substitute \( x = 0 \) into \( y = -2x + 4 \):
\( y = -2(0) + 4 = 4 \), so \((0, 4)\) is valid.

Step3: Check \( x = 1 \)

Substitute \( x = 1 \) into \( y = -2x + 4 \):
\( y = -2(1) + 4 = 2 \), so \((1, 2)\) is valid.

Step4: Check \( x = 2 \)

Substitute \( x = 2 \) into \( y = -2x + 4 \):
\( y = -2(2) + 4 = 0 \), so \((2, 0)\) is valid.

All ordered pairs in Option D satisfy \( y = -2x + 4 \).

Answer:

D. (-1,6), (0,4), (1,2), (2,0)