Question

the table shows three values of x and their corresponding values of y, where a is a constant. there is a linear relationship between x and y. which of the following equations represents this relationship? a x - 5y = -8a b x - 5y = -a c 5x + y = 10a d 5x + y = 8a

Explanation:

Step1: Substitute first pair (x = 0, y = a/5) into option A

$0-5\times\frac{a}{5}=-a
eq - 8a$

Step2: Substitute first pair (x = 0, y = a/5) into option B

$0 - 5\times\frac{a}{5}=-a$, this pair satisfies option B

Step3: Substitute second pair (x = 2a, y = 3a/5) into option B

$2a-5\times\frac{3a}{5}=2a - 3a=-a$, this pair satisfies option B

Step4: Substitute third pair (x = 8a, y = 9a/5) into option B

$8a-5\times\frac{9a}{5}=8a - 9a=-a$, this pair satisfies option B

Answer:

B. $x - 5y=-a$