LINR 1 | Lesson 2 | Try This! (Slope and \(y\)-Intercept)

Try This!

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.

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: (_, _)


 Check solutions here.

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