4+ 3 2- -5 -3 4 -1- -2- -3- %24 2. 1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Find the slope of the line graphed below
**Determining the Slope of the Line:**

To find the slope of the line graphed below:

![Graph showing a line with points](https://via.placeholder.com/768x512)

- The line is represented on a coordinate plane with the x-axis and y-axis intersecting at (0, 0).
- The line is marked with two red dots.

We can determine the slope (m) using the formula: 

\[ m = \frac{{\text{change in } y}}{{\text{change in } x}} \]

The two points on the graph are: 

1. **Point A:** \((-3, 0)\)
2. **Point B:** \((3, -3)\)

To use the slope formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. Plugging in the points \((-3, 0)\) and \((3, -3)\), we get:

\[ m = \frac{{-3 - 0}}{{3 - (-3)}} = \frac{{-3}}{{3 + 3}} = \frac{{-3}}{{6}} = -\frac{1}{2} \]

So, the slope of the line is \(-\frac{1}{2}\).
Transcribed Image Text:**Determining the Slope of the Line:** To find the slope of the line graphed below: ![Graph showing a line with points](https://via.placeholder.com/768x512) - The line is represented on a coordinate plane with the x-axis and y-axis intersecting at (0, 0). - The line is marked with two red dots. We can determine the slope (m) using the formula: \[ m = \frac{{\text{change in } y}}{{\text{change in } x}} \] The two points on the graph are: 1. **Point A:** \((-3, 0)\) 2. **Point B:** \((3, -3)\) To use the slope formula: \[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \] where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. Plugging in the points \((-3, 0)\) and \((3, -3)\), we get: \[ m = \frac{{-3 - 0}}{{3 - (-3)}} = \frac{{-3}}{{3 + 3}} = \frac{{-3}}{{6}} = -\frac{1}{2} \] So, the slope of the line is \(-\frac{1}{2}\).
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