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

Answer 1

You don't have answers here, but there are only a few things that are inherently true here.

Firstly, we know that they don't share a y intercept.

Secondly, we know that there must be one intersection of the two functions, unless of course P also has a -1/3 slope. Then there are 0 intersections. 

Apart from that, there is little to be concluded. 

Answer 2

Answer:

We know that P is a linear function, with an y-intercept = 5, this means:

P(x) = a*x + b

where a is the slope and b is the y-intercept, so we have:

P(x) = a*x + 5

Function Q is defined by:

Q(x) = (-1/3)x + 4

-The statements that are true about P and Q are:

-P and Q are both linear functions.

P(0)= 5, and Q(0) = 4

so P(0) - Q(0) = 1

That is all the things we can say about P and Q if we do not have more information about P.