### Student Page2.7.4Finding Equations from Representations A4US

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:

1. Find the slope.

2. Find the $$y$$-intercept.

3. Write an equation.

4. Explain how you know the slope and $$y$$-intercept are correct. Check 2 points in your equation to show it is correct.

#### 1.

##### (a)Linear Function Representation.
$$x$$ $$y$$
0 4
2 9
4 14
6 19
8 24
##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.

#### 2.

##### (a)Linear Function Representation.
$$x$$ $$y$$
6 11
9 9
12 7
15 5
18 3
##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.

#### 3.

##### (a)Linear Function Representation. ##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.

#### 4.

##### (a)Linear Function Representation. ##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.

#### 5.

##### (a)Linear Function Representation.

Hannah shelters her dog at Happy Trails Kennel while she is out of town. Happy Trails requires Hannah to begin each month with $200 in her account and charges her account$15 each day her dog stays at the kennel. What amount, $$A\text{,}$$ will Hannah have in her account at the end of the month if her dog stays at the kennel for $$d$$ days?

##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.

#### 6.

##### (a)Linear Function Representation.

What is the total cost, $$C\text{,}$$ of $$x$$ months of use of the Fitness Fun health club? Fitness Fun charges a $75 initiation fee plus$20 per month.

##### (b)Slope.

Say how you know you are correct.

##### (c)$$y$$-intercept.

Say how you know you are correct.