Question

Comparing Linear Functions Written in Different Ways
On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4).

Linear functions are expressed by the graph and equation. Select all that apply.
The slope is positive for both functions.
The equation has a steeper slope than the line in the graph.
The y-intercept is the same for both.
The graph and the equation express an equivalent function.

Answer 1

Compute the slope from the two graph points:
m = (−4 − 4)/(0 − (−2)) = −8 / 2 = −4. The y‑intercept is y(0) = −4.

Therefore:
- "The slope is positive for both functions." — False (slope of the graph is −4).
- "The equation has a steeper slope than the line in the graph." — False (the graph's slope magnitude is 4; any claim otherwise would need the equation's slope, but from the given graph alone this is not true).
- "The y-intercept is the same for both." — True (both have y‑intercept −4).
- "The graph and the equation express an equivalent function." — False (they would be equivalent only if they had the same slope and intercept).

So select only: The y-intercept is the same for both.