Question

5)
slope = ________

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 3)\) and \((2, 0)\) (we can also use other points like \((4, -3)\) for verification). Let's take \((x_1, y_1)=(0, 3)\) and \((x_2, y_2)=(2, 0)\).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values of the points we found:
\(m=\frac{0 - 3}{2 - 0}=\frac{-3}{2}\)

We can also check with another pair of points, say \((2, 0)\) and \((4, -3)\). Then \(m=\frac{-3 - 0}{4 - 2}=\frac{-3}{2}\), which confirms the slope.

Answer:

\(-\frac{3}{2}\)