Question

Function A and Function B are linear functions.
Function A's Intercept: (0, 5)
Function B: y = 6x - 5

A. The slope of Function B is greater than the slope of Function A.
B. The two functions have the same slope.
C. The slope of Function A is greater than the slope of Function B.

Answer 1

You haven't given Function A's slope, only its y-intercept (0,5). That alone does not determine its slope, so you cannot compare the slopes from the information provided.

Two useful remarks:
- If by "Function A's Intercept: (0,5)" you mean the line y = 5 (i.e. slope 0), then Function B has slope 6, so statement A is true (B's slope is greater).
- If Function A is any other line through (0,5) its slope could be any real number, so the relative ordering could be any of A, B, or C.

Which interpretation did you intend?