Answer:
A)
Step-by-step explanation:
Given linear function: y = -2x + 3
Therefore, the slope is -2 and the y-intercept is (0, 3)
Therefore, we are looking for a set of ordered pairs that has a rate of change of -2
⇒ as the x-value increases by 1 unit, the y-value decreases by 2 units
i.e. as the x-value decreases by 1 unit, the y-value increases by 2 units.
The only set of ordered pairs that follows this rule is A)
Let's check by substituting the values of x = 1, x = 0 and x = -3 into the function:
when x = 1 → -2(1) + 3 = 1
when x = 0 → -2(0) + 3 = 3
when x = -3 → -2(-3) + 3 = 9
Confirming that the set of ordered pairs in A) lie on the graph of the given function.