Question

problem 4
determine the slope.

Explanation:

Step1: Select two points on the line

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. From the graph, if we take \((x_1 = 6,y_1 = 6)\) and \((x_2=8,y_2 = 8)\) (assuming the grid has unit - length squares).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 6,y_1 = 6,x_2=8,y_2 = 8\) into the formula: \(m=\frac{8 - 6}{8 - 6}\).

Step3: Calculate the slope

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

Answer:

\(2\)