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Function $A$ is a linear function. $\newline$ Which of the following functions has the same $y$ -intercept as Function $A$ ? $\newline$ Choices: $\newline$ (A) $y = -5x - 4$ $\newline$ (B) $y = 5x + 4$ $\newline$ (C) $y = -4x - 5$ $\newline$ (D) $y = 4x + 5$

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Write a linear equation from a slope and y-intercept

Full solution

Q. Function

A

is a linear function.

\newline

Which of the following functions has the same

y

-intercept as Function

A

?

\newline

Choices:

\newline

(A)

y = -5x - 4

\newline

(B)

y = 5x + 4

\newline

(C)

y = -4x - 5

\newline

(D)

y = 4x + 5

Identify Function A: Function A has a $y$ -intercept we don't know, but we're looking for a function with the same $y$ -intercept.
Find y-intercept definition: The y-intercept is the value of $y$ when $x$ is $0$ , so it's the constant term in the equation $y = mx + b$ .
Analyze constant terms: Look at the constant term in each choice to find the $y$ -intercept.
Determine y-intercepts: (A) has a y-intercept of $-4$ , (B) has a y-intercept of $4$ , (C) has a y-intercept of $-5$ , and (D) has a y-intercept of $5$ .
Compare with Function A: We don't know the $y$ -intercept of Function A, so we can't determine which function has the same $y$ -intercept.

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