Question

select the correct answer.
which number best represents the slope of the graphed line?

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((-8, 0)\) and \((0, 4)\) (we can also use other points, but these are clear).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let \((x_1,y_1)=(-8,0)\) and \((x_2,y_2)=(0,4)\). Then \(m = \frac{4 - 0}{0 - (-8)}=\frac{4}{8}=\frac{1}{2}=0.5\). We can also check with another pair, say \((0,4)\) and \((8,8)\), then \(m=\frac{8 - 4}{8 - 0}=\frac{4}{8}=0.5\). So the slope is \(0.5\) or \(\frac{1}{2}\).

Answer:

\(\frac{1}{2}\) (or \(0.5\))