Question

What is the slope of the linear relationship shown on the graph?

a graph of a line that passes through the points 0 comma negative 2 and negative 3 comma 2
four thirds
negative four thirds
three fourths
negative three fourths

Answer 1

To find the slope of the line that passes through the points \((0, -2)\) and \((-3, 2)\), we can use the slope formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, we can assign the points as follows:
- \((x_1, y_1) = (0, -2)\)
- \((x_2, y_2) = (-3, 2)\)

Now substituting the coordinates into the slope formula:

\[
m = \frac{2 - (-2)}{-3 - 0} = \frac{2 + 2}{-3} = \frac{4}{-3} = -\frac{4}{3}
\]

Thus, the slope of the linear relationship shown on the graph is:

**negative four thirds**.