# Identifying the Slope and \(y\)-Intercept in Linear Relationships

Below are four representations of linear situations. For each situation, identify the slope (growth rate) and the \(y\)-intercept (starting point). To review the concepts of slope and the \(y\)*–*intercept, see Lesson 1 (Module LINR 1).

1. Johanna was saving her allowance to buy a bicycle that cost $225. She has $25 in her savings and intends to save an additional $15 per week.

Slope:

*\(y\)-*intercept: (_, _)

2. The cost to prepare tacos can be represented by the linear equation \(c=\Large \frac{5}{4}\normalsize n+0.75\), where \(c\) represents the cost of making tacos, and \(n\) represents the number of tacos made.

Slope:

*\(y\)-*intercept: (_, _)

3. The following is a graphical representation of the number of squares in each step of a linear growth pattern. *Graph is created using Desmos.com.*

Slope:

*\(y\)-*intercept: (_, _)

4. The table below represents the distance traveled (in miles) over time (in hours).

Time (hours) |
Distance Traveled (miles) |
---|---|

\(2\) | \(10\) |

\(3\) | \(13.5\) |

\(4\) | \(17\) |

\(5\) | \(20.5\) |

Slope:

*\(y\)-*intercept: (_, _)