Question

Function P is a linear function with a Y-intercept of 5.Function Q is defined by the equation Y=-1/3x +4.What statement must be true about functions P and Q

A. both functions have the same slope
B. Both functions have a negative slope
C. the function will have the same input y=0
D. the functions will have different outputs when x=0

Answer 1

Option D.

Explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

or

The y-intercept is the value of the function (output) when the value of x=0

In this problem

The output of the function P for x=0 is equal to 5

The output of the function Q for x=0 is equal to 4

therefore

The functions will have different outputs when x=0