To correctly calculate the slope of a line using two points \((x_1, y_1)\) and \((x_2, y_2)\), the formula is:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Now, let's evaluate each option to see which one correctly calculates the slope and equals 1.
Option #1:
Given two points, we can interpret them as \((x_1, y_1) = (2, 3)\) and \((x_2, y_2) = (0, -5)\). \[ \text{slope} = \frac{-5 - 3}{0 - 2} = \frac{-8}{-2} = 4 \quad \text{(not 1)} \]
Option #2:
Assuming the points are \((x_1, y_1) = (2, 0)\) and \((x_2, y_2) = (5, 3)\). \[ \text{slope} = \frac{3 - 0}{5 - 2} = \frac{3}{3} = 1 \quad \text{(correct)} \]
Option #3:
Assuming the points are \((x_1, y_1) = (0, 2)\) and \((x_2, y_2) = (3, 5)\). \[ \text{slope} = \frac{5 - 2}{3 - 0} = \frac{3}{3} = 1 \quad \text{(also correct)} \]
Both Option #2 and Option #3 correctly calculate the slope as 1. If you need to choose just one option, you should enter 2 or 3, as both yield the correct slope of 1.