Question

what is the slope of this line?
(there is a coordinate grid with a blue line plotted on it, with x-axis from -40 to 40 and y-axis from -40 to 40, and the line passes through some grid points.)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -25)\) and \((5, 0)\) (we can also choose other points, but these are easy to identify).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0, -25)\) and \((x_2,y_2)=(5, 0)\).
Substitute the values into the formula: \(m=\frac{0 - (-25)}{5 - 0}=\frac{25}{5}=5\).

Answer:

The slope of the line is \(5\).