Select all that apply to the given term: zero slope A (8, -9)(-5, -9) B point (x, #) creates a vertical line a line with an equation of x = #. the point where a line crosses the y-axis F point (0, #) G (-3, 6)(-3, 10) creates a horizontal line a line with an equation of y #. the point where a line crosses the x-axis

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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3. Select all that apply to the given term: zero slope.
### Understanding Zero Slope in Mathematics

**Question 3: Select all that apply to the given term: zero slope**

A. (8, -9)(-5, -9)
- **Explanation**: These pair of points lie on a horizontal line, indicating a zero slope.

B. point (x, #)
- **Explanation**: This represents a general point, which does not specifically denote zero slope. 

C. creates a vertical line
- **Explanation**: Vertical lines have an undefined slope, not a zero slope.

D. a line with an equation of \( x = \# \)
- **Explanation**: This represents a vertical line equation, which has an undefined slope.

E. the point where a line crosses the y-axis
- **Explanation**: This is the y-intercept, which does not determine the slope by itself.

F. point (0, #)
- **Explanation**: This point is on the y-axis and does not imply anything about the slope.

G. (-3, 6)(-3, 10)
- **Explanation**: These pair of points lie on a vertical line, indicating an undefined slope.

H. creates a horizontal line
- **Explanation**: This correctly describes a zero slope.

I. a line with an equation of \( y = \# \)
- **Explanation**: Lines with this equation are horizontal, indicating a zero slope.

J. the point where a line crosses the x-axis
- **Explanation**: This is the x-intercept, which does not determine the slope by itself.

**Detailed Explanation**:

- **A. (8, -9)(-5, -9)**: This pair of points form a horizontal line, which has a zero slope because there is no vertical change as the x-values change.
- **H. creates a horizontal line**: Horizontal lines are characterized by having a zero slope because all points on the line have the same y-value, with no change in the vertical direction as the x-values change.
- **I. a line with an equation of \( y = \# \)**: This is the equation for a horizontal line, which has a zero slope since all y-values are constant irrespective of the x-values.

For educational purposes, understanding the concept of slope is crucial when studying linear equations and graphing. A zero slope indicates no increase or decrease as you move along the line, which visually represents a horizontal line
Transcribed Image Text:### Understanding Zero Slope in Mathematics **Question 3: Select all that apply to the given term: zero slope** A. (8, -9)(-5, -9) - **Explanation**: These pair of points lie on a horizontal line, indicating a zero slope. B. point (x, #) - **Explanation**: This represents a general point, which does not specifically denote zero slope. C. creates a vertical line - **Explanation**: Vertical lines have an undefined slope, not a zero slope. D. a line with an equation of \( x = \# \) - **Explanation**: This represents a vertical line equation, which has an undefined slope. E. the point where a line crosses the y-axis - **Explanation**: This is the y-intercept, which does not determine the slope by itself. F. point (0, #) - **Explanation**: This point is on the y-axis and does not imply anything about the slope. G. (-3, 6)(-3, 10) - **Explanation**: These pair of points lie on a vertical line, indicating an undefined slope. H. creates a horizontal line - **Explanation**: This correctly describes a zero slope. I. a line with an equation of \( y = \# \) - **Explanation**: Lines with this equation are horizontal, indicating a zero slope. J. the point where a line crosses the x-axis - **Explanation**: This is the x-intercept, which does not determine the slope by itself. **Detailed Explanation**: - **A. (8, -9)(-5, -9)**: This pair of points form a horizontal line, which has a zero slope because there is no vertical change as the x-values change. - **H. creates a horizontal line**: Horizontal lines are characterized by having a zero slope because all points on the line have the same y-value, with no change in the vertical direction as the x-values change. - **I. a line with an equation of \( y = \# \)**: This is the equation for a horizontal line, which has a zero slope since all y-values are constant irrespective of the x-values. For educational purposes, understanding the concept of slope is crucial when studying linear equations and graphing. A zero slope indicates no increase or decrease as you move along the line, which visually represents a horizontal line
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