Question

find the slope of the line.
graph of a line on a coordinate plane with options m=-2, m=2, m=1/2

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the origin \((0, 0)\) and another point \((2, 1)\) (by counting the grid squares: 2 units to the right on the x - axis and 1 unit up on the y - axis).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,1)\).
Substitute the values into the formula: \(m=\frac{1 - 0}{2 - 0}=\frac{1}{2}\).

Answer:

\(m = \frac{1}{2}\)