Question

what is the slope of the line?

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, for example, \((1,1)\) (we can also use other points like \((-1,-1)\), \((2,2)\) etc.). Let's take \((x_1,y_1) = (0,0)\) and \((x_2,y_2) = (1,1)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substituting the values \(x_1 = 0\), \(y_1 = 0\), \(x_2 = 1\), \(y_2 = 1\) into the formula:

\(m=\frac{1 - 0}{1 - 0}=\frac{1}{1} = 1\)

Answer:

The slope of the line is \(1\).