If the Y-intercept of a linear function increases while the slope remains unchanged
A) the graph must shift down.
B) the graph must rotate to the left about the X intercept.
C) the graph must shift up.
D) the graph remains unchanged.

Question

Quizplus · Accepted Answer

If the Y-intercept (the point where the line crosses the Y-axis) increases, it means that the line moves up on the Y-axis. However, since the slope (the steepness of the line) remains the same, the angle of the line with respect to the X-axis remains unchanged. Therefore, the line must shift upwards parallel to itself. The correct option is C - the graph must shift up.

If the Y-Intercept of a Linear Function Increases While the Slope