Question

question 7 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 decreases, the graph of the line shifts down.
d. as the \\(y\\)-intercept increases, the graph of the line shifts up.
e. as the \\(y\\)-intercept increases, the graph of the line gets steeper.

Explanation:

Analyze the slope-intercept equation of a line

$$ y = mx + b $$

Determine the effect of changing the y-intercept

$$
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$$

Evaluate the given options

$$
LATEXBLOCK1
$$

Answer:

• 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 decreases, the graph of the line shifts down. (Correct answer)
• D. As the \(y\)-intercept increases, the graph of the line shifts up. (Correct answer)
• E. As the \(y\)-intercept increases, the graph of the line gets steeper.