line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line? 


Question 28 Answer

a.

x - 5y = -3 


b.

3x - 5y = -5


c.

y +5 = 0


d.

x+5 = 0

A line with a slope of 0 is a horizontal line. Since it passes through the point (3, -5), its equation will have the form \( y = c \), where \( c \) is the y-coordinate of the point. Therefore, the equation for this line is:

\[ y = -5 \]

This can also be expressed as:

\[ y + 5 = 0 \]

Thus, the correct answer is:

**c. \( y + 5 = 0 \)**

### Would you like further details or explanations? Here are some related questions:

1. What is the general form of the equation for a line with a given slope?
2. How can you identify the slope of a line from its equation?
3. What are other forms of equations that represent horizontal lines?
4. How do you graph a horizontal line on a coordinate plane?
5. Can you find the equation of a vertical line, and how does it differ from a horizontal line?

**Tip:** Remember that the slope indicates the direction of the line: a slope of 0 means it’s perfectly horizontal.

line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line?

Discover how to find the equation of a horizontal line with a slope of 0 that passes through the point (3, -5). This example highlights key concepts in linear equations and their properties, specifically focusing on horizontal lines. Suitable for students in Grades 7-9.

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