Grade 8 | Unit 3 | Lesson 6: More Linear Relationships | Practice Problems

Explain what the slope and intercept mean in each situation. A graph represents the perimeter, \(y\), in units, for an equilateral triangle with side length \(x\) units. The slope of the line is 3 and the \(y\)-intercept is 0.

The amount of money, \(y\), in a cash box after \(x\) tickets are purchased for carnival games. The slope of the line is \(\frac14\) and the \(y\)-intercept is 8.

The number of chapters read, \(y\), after \(x\) days. The slope of the line is \(\frac54\) and the \(y\)-intercept is 2.

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 and the \(y\)-intercept is 3.

Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation. What does the slope of the line shown by the points mean in this situation? What does the vertical intercept mean in this situation?