# 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.