# Linear Intercept

- Author:
- Arpit Kesharwani, Tim Brzezinski

## How do you find slope? (Unit 3, Lesson 1)

How do you find slope? (Unit 3, Lesson 1) What is slope?

Create a graph showing the equations y=14x and y=14x−5. Explain how the graphs are the same and how they are different.

A cable company charges $70 per month for cable service to existing customers.

- Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
- For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
- When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Match each graph to a situation.

- The graph represents the perimeter, y, in units, for an equilateral triangle with side length of x units. The slope of the line is 3.
- The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is 14.
- The number of chapters read, y, after x days. The slope of the line is 54.
- The graph shows the cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. The slope of the line is 2.