Question

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Changing Slope and y-intercept Quick Check
5 of 55 of 5 Items



Question
Predict which of the following linear functions would have a graph with the highest y-intercept.(1 point)
Responses

y=x+4
y is equal to x plus 4

y=4x
y is equal to 4 x

y=7x+1
y is equal to 7 x plus 1

y=2x+8

Answer 1

To determine which linear function has the highest y-intercept, we need to look at the constant term (the term without x) in each equation, as the y-intercept occurs when x = 0.

Here are the given functions with their corresponding y-intercepts:

1. \( y = x + 4 \) → y-intercept = 4
2. \( y = 4x \) → y-intercept = 0 (since there is no constant term)
3. \( y = 7x + 1 \) → y-intercept = 1
4. \( y = 2x + 8 \) → y-intercept = 8

Comparing the y-intercepts:
- \( y = x + 4 \) → y-intercept = 4
- \( y = 4x \) → y-intercept = 0
- \( y = 7x + 1 \) → y-intercept = 1
- \( y = 2x + 8 \) → y-intercept = 8

The function with the highest y-intercept is **\( y = 2x + 8 \)**.