Home > MC2 > Chapter 8 > Lesson 8.1.2 > Problem8-25

8-25.

Use the graph below to answer the questions below.

1. Create a table of values for the line on the graph such as the one started below. Include at least $5$ entries.

$x$ $–2$ $5$

Choose a few $x$-coordinates that can be seen in the graph. Estimate their $y$-coordinates.
Notice the scaling of the graph.

$2, −1$

1. What is the slope of the line?

$\text{Slope }= \frac{\text{rise}}{\text{run}}$

Notice that since the line slopes downward, its slope will have a negative value.

$-\frac{3}{2}$

2. Write an equation (rule) for the line.

Try looking for a pattern.

Notice that at $x = 0$ the $y$-coordinate is $2$.
Try writing an equation, and then check your answer by substituting points found in (a).

$y = - \frac{3}{2} x + 2$