Question

what is the slope of this line?
simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

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

Step2: Identify two points on the line

From the graph, the line passes through the origin \((0, 0)\) and another point, say \((2, 2)\) (we can also use other points like \((4, 4)\), etc.). Let's take \((x_1, y_1)=(0, 0)\) and \((x_2, y_2)=(2, 2)\).

Step3: Calculate the slope

Substitute the values into the slope formula: \( m=\frac{2 - 0}{2 - 0}=\frac{2}{2} = 1 \). We can also check with another pair, like \((-2, -2)\) and \((0, 0)\): \( m=\frac{0 - (-2)}{0 - (-2)}=\frac{2}{2}=1 \).

Answer:

\( 1 \)