Question

Function A and Function B are linear functions.
Function A Function B has a y-intercept of 2
x y
1 –2
2 1
8 19
Which statements are true? Select all that apply.
A. The slope of Function A is greater than the slope of Function B.
B. The slope of Function A is less than the slope of Function B.
C. The y-intercept of Function A is greater than the y-intercept of Function B.
D. The y-intercept of Function A is less than the y-intercept of Function B.

Answer 1

Compute Function A: slope = (1 − (−2)) / (2 − 1) = 3 (also confirmed by the other points), so equation is y = 3x − 5 and its y-intercept is −5. Function B’s y-intercept is 2 but its slope is not given.

Therefore:
- A and B (about slopes) cannot be determined — false.
- C is false (−5 is not greater than 2).
- D is true (−5 < 2).

Correct choice: D.