Question

what is the slope of this line? a coordinate grid with a line plotted. the y-axis is labeled from -24 to 24 in increments of 3, and the x-axis is labeled from -24 to 24 in increments of 3. the line passes through points, for example, (0, -6) and (3, -24) (approximate based on the grid).

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -6)\) and \((3, -24)\) (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 \((x_1, y_1) = (0, -6)\) and \((x_2, y_2) = (3, -24)\). Then \(m=\frac{-24 - (-6)}{3 - 0}=\frac{-24 + 6}{3}=\frac{-18}{3}=-6\).

Answer:

\(-6\)