On one island there lived two friends, Ana and Banana. One of them always tells the truth, while the other always lies. When asked which one is the liar among them, they said: Ana: "Banana ate ten apples yesterday, and he is telling the truth." Banana: "No, I ate five apples yesterday, and Ana is lying." How many apples did Banana eat yesterday?

Number of apples ate = 5

Step-by-step explanation:

Fact:

One of them always tells the truth, while the other always lies.

To find how many apples banana ate, we have to figure out who is lying between Ana and Banana.

Ana: "Banana ate ten apples yesterday, and he is telling the truth."

If Ana is telling the truth, that means Banana is also telling the truth because of the statement (... and he is telling the truth).

This is not possible as one of them must be lying. The only option left is that Ana is lying.

Since Ana is lying, it means banana is telling the truth.

Banana: "No, I ate five apples yesterday, and Ana is lying."

Number of apples ate = 5

step-by-step explanation:

step-by-step explanation:

let

we know that

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

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is