Francine uses \dfrac23 3

2

start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every \dfrac13

3

1

start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.

Enter the number of cups of pineapple juice Francine uses for 111 cup of orange juice.

cup of pineapple juice.

Step-by-step explanation:

We are told that Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. In order to get  the number of cups of pineapple juice Francine will use for 1 cup of orange juice, we will  apply the following expression;

2/3 cup of pineapple juice = 1/3 cups of orange juice

1 cup of pineapple juice = x cups of orange juice

Cross multiply

divide both sides of the equation by 3

divide both sides by 2

Hence Francine uses number of cups of pineapple juice for 1 cup of orange juice.

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