Question

the function ( g(x) = -2x + 3 ).
compare the slopes and ( y )-intercepts.

a. the slopes are the same but the ( y )-intercepts are different.

b. both the slopes and the ( y )-intercepts are different.

c. both the slopes and the ( y )-intercepts are the same.

d. the slopes are different but the ( y )-intercepts are the same.

Explanation:

Wait, the problem seems to be missing another function to compare with \( g(x) = -2x + 3 \). But maybe there was a typo or a previous function. However, assuming we are comparing with a function that has the same slope and different y - intercept or other cases. Wait, no, maybe the original problem had another function, but since we have \( g(x)=-2x + 3 \) which is in the form \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. If we assume that we are comparing with a function that has the same slope (m = - 2) but different y - intercept (b different from 3), then the answer would be A. But let's check the options. If we consider that maybe the other function (not shown here) has the same slope as \( g(x) \) (slope \( m=-2 \)) but a different y - intercept. For example, if the other function was \( y=-2x + 5 \), then slope is same (-2) and y - intercepts (3 vs 5) are different. So option A says "The slopes are the same but the y - intercepts are different" which would be correct in such a case.

Answer:

A. The slopes are the same but the \( y \)-intercepts are different.