function a and function b are linear functions.\nfunction a\nfunction b\nwhich statement is true?\nthe y…

function a and function b are linear functions.\nfunction a\nfunction b\nwhich statement is true?\nthe y - intercept of function a is greater than the y - intercept of function b.\nthe y - intercept of function a is less than the y - intercept of function b.

function a and function b are linear functions.\nfunction a\nfunction b\nwhich statement is true?\nthe y - intercept of function a is greater than the y - intercept of function b.\nthe y - intercept of function a is less than the y - intercept of function b.

Answer

Explanation:

Step1: Find the y - intercept of Function A

The y - intercept of a linear function is the value of (y) when (x = 0). For Function A, from the graph, when (x=0), (y = 4). So the y - intercept of Function A, (b_{A}=4).

Step2: Find the equation of Function B (to get its y - intercept)

The slope formula is (m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}). Let ((x_{1},y_{1})=(-9,-19)) and ((x_{2},y_{2})=(-7,-15)). (m=\frac{-15 - (-19)}{-7-(-9)}=\frac{-15 + 19}{-7 + 9}=\frac{4}{2}=2) The equation of a line is (y=mx + b). Using the point ((x = 4,y = 7)) and (m = 2), we substitute into (y=mx + b): (7=2\times4+b) (7 = 8 + b) (b=7 - 8=-1)

Answer:

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