Question

question 2 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 up. 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 right. d. as the y - intercept decreases, the graph of the line gets less steep. e. as the y - intercept decreases, the graph of the line shifts down.

Explanation:

Step1: Recall line equation

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Analyze y - intercept change

When \(b\) increases, for the same \(x\) values, \(y\) values increase, so the line shifts up. When \(b\) decreases, for the same \(x\) values, \(y\) values decrease, so the line shifts down.

Answer:

A. As the y - intercept increases, the graph of the line shifts up; E. As the y - intercept decreases, the graph of the line shifts down