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: (_, _)
