Parallel and Perpendicular Lines Quick Check

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Question
Briella is trying to remember the formula for slope. Which of the following explanations of slope could help her figure out the formula?(1 point)
Responses

Slope is the ratio of run over rise. When given two points, you can determine the rise by finding the difference between the x-coordinates. You can determine the run by finding the difference between the y-coordinates.
Slope is the ratio of run over rise. When given two points, you can determine the rise by finding the difference between the x -coordinates. You can determine the run by finding the difference between the y -coordinates.

Slope is the ratio of run over rise. When given two points, you can determine the rise by finding the difference between the y-coordinates. You can determine the run by finding the difference between the x-coordinates.
Slope is the ratio of run over rise. When given two points, you can determine the rise by finding the difference between the y -coordinates. You can determine the run by finding the difference between the x -coordinates.

Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the y-coordinates. You can determine the run by finding the difference between the x-coordinates.
Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the y -coordinates. You can determine the run by finding the difference between the x -coordinates.

Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the x-coordinates. You can determine the run by finding the difference between the y-coordinates.
Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the x -coordinates. You can determine the run by finding the difference between the y -coordinates.
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Answer 1

The correct explanation for the formula for slope is:

Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the y-coordinates. You can determine the run by finding the difference between the x-coordinates.

This means that the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula:

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

This definition accurately describes how to compute the slope using the differences in the y and x coordinates, respectively.