Question

Use the image to answer the question.

A straight line is graphed on a coordinate plane.

The slope of this line is 1. Which of the following options shows how to correctly calculate the slope? Enter the number of the option that has calculated the slope correctly.

Option #1: 0−32−5=−3−3=1

Option #2: 5−32−0=22=1

Option #3: 5−23−0=33=1

(1 point)
The slope of the line is correctly calculated in Option #
.

Answer 1

To determine which option correctly calculates the slope of the line with a slope of 1, we need to analyze how the slope \( m \) is calculated.

The slope \( m \) of a line is calculated as:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Now, let's evaluate each option one by one:

**Option #1:**
\[
\frac{0 - 3}{2 - 5} = \frac{-3}{-3} = 1
\]
This calculation is correct.

**Option #2:**
\[
\frac{5 - 3}{2 - 0} = \frac{2}{2} = 1
\]
This calculation is also correct.

**Option #3:**
\[
\frac{5 - 2}{3 - 0} = \frac{3}{3} = 1
\]
This calculation is correct as well.

Since all three options correctly calculate the slope as 1, it seems like there might be a misunderstanding in the question as it only allows for one option to be chosen.

However, based on the correctness of the calculations we have:

**The slope of the line is correctly calculated in Option #1, Option #2, and Option #3.**

If you still need to pick only one, you can choose **Option #1**, **Option #2**, or **Option #3**.