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

Question

Responses

y=2x+8
y is equal to 2 x plus 8

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

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

y=4x

Answer 1

To determine which linear function has the highest y-intercept, we need to look at the constant term in each equation, as the y-intercept is given by the value of y when x = 0.

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

Comparing the y-intercepts:

• \( 8 \) (from the first equation)
• \( 1 \) (from the second equation)
• \( 4 \) (from the third equation)
• \( 0 \) (from the fourth equation)

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