Question

Suppose function A is represented verbally as “the y-intercept of function A is 52 larger than the y-intercept of function B,” and function B is represented graphically as

Choose the statement which describes the algebraic representation of function A.
y = 0.5x - 1.5
y = 5x - 2.5
y = 3x + 1.5
y = 2.5x - 2.5

Answer 1

I don’t have the graph of function B — can you upload it or tell me B’s equation or its y‑intercept and slope from the graph?

Method to choose A: “y‑intercept of A is 5/2 (2.5) larger than the y‑intercept of B” means
- keep B’s slope the same,
- add 2.5 to B’s y‑intercept.

Example: if the graph of B has equation y = 0.5x − 4 (y‑intercept −4), then A’s intercept is −4 + 2.5 = −1.5, so A is y = 0.5x − 1.5 (first choice). If you tell me B’s intercept/slope I’ll pick the correct option.