Question

find the slope of the line in the graph below and enter in the blue box.

Explanation:

Step1: Identify two points on the line

Let's pick two clear points on the line. From the graph, we can see that the line passes through \((-2, 0)\) and \((2, 2)\) (or other suitable points, but let's use these for calculation).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-2,0)\) and \((x_2,y_2)=(2,2)\). Then \(m = \frac{2 - 0}{2 - (-2)}=\frac{2}{4}=\frac{1}{2}\). Alternatively, we can also use the "rise over run" method. From one point to another, if we move up (rise) 1 unit and then move right (run) 2 units, the slope (rise/run) is \(\frac{1}{2}\).

Answer:

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