Question

question 3 of 10 what happens to a line when the y - intercept is changed? check all that apply. a. as the y - intercept increases, the graph of the line shifts right. b. as the y - intercept decreases, the graph of the line shifts left. c. as the y - intercept increases, the graph of the line shifts up. d. as the y - intercept decreases, the graph of the line shifts down. e. as the y - intercept increases, the graph of the line gets steeper.

Explanation:

The y - intercept of a line in the slope - intercept form \(y = mx + b\) (where \(b\) is the y - intercept) determines the vertical position of the line. When \(b\) increases, the line moves up along the y - axis, and when \(b\) decreases, the line moves down along the y - axis. The slope \(m\) determines the steepness of the line, not the y - intercept. Changing the y - intercept does not affect the horizontal position (left or right shift) of the line.

Answer:

C. As the y - intercept increases, the graph of the line shifts up.
D. As the y - intercept decreases, the graph of the line shifts down.