Question

the line representing a proportional relationship always goes through the point (0,0). if x is zero, multiplying x by the constant will always give you 0 for y. try it with our ice cream example. make the independent variable, number of scoops, 0. the constant is 2. 0 × 2 = 0. the dependent variable is also 0.
what other point will appear on the line representing this proportional relationship where the constant of proportionality is 2?
choose one option
a (1,3)
b (2,4)
c (2,2)
d (4,2)

Explanation:

Step1: Define proportional relationship

A proportional relationship is $y = kx$, where $k=2$.

Step2: Check each option

• A: $3=2×1$? No.
• B: $4=2×2$? Yes.
• C: $2=2×2$? No.
• D: $2=2×4$? No.

Only option B satisfies the equation.

Answer:

B. (2, 4)