Question

function a and function b are linear functions. function a graph of a line on a coordinate plane function b y = 4x + 3 which statement is true? the y-intercept of function a is greater than the y-intercept of function b. the y-intercept of function a is less than the y-intercept of function b.

Explanation:

Step1: Find y-intercept of Function A

The y - intercept of a linear function is the value of \( y \) when \( x = 0 \). From the graph of Function A, when \( x = 0 \), \( y=- 4 \). So the y - intercept of Function A is \( - 4 \).

Step2: Find y-intercept of Function B

The equation of Function B is \( y = 4x+3 \). For a linear function in the form \( y=mx + b \), the y - intercept is \( b \). So for \( y = 4x + 3 \), the y - intercept \( b = 3 \).

Step3: Compare the y-intercepts

We have the y - intercept of Function A as \( - 4 \) and the y - intercept of Function B as \( 3 \). Since \( - 4<3 \), the y - intercept of Function A is less than the y - intercept of Function B.

Answer:

The \( y \)-intercept of Function A is less than the \( y \)-intercept of Function B.