Question

what is the slope of this line?
(the image shows a coordinate plane with a line passing through the origin (0,0), (2,2), and (4,4).)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

We have two points \((2, 2)\) and \((4, 4)\), so \( x_1 = 2, y_1 = 2, x_2 = 4, y_2 = 4 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{4 - 2}{4 - 2}=\frac{2}{2}=1 \).

Answer:

1