Write the equation of each line described below. Use the variables xx and yy.


A) Point: (1,−3)(1,-3), Slope: DNEDNE
Equation of the line:   


B) Point: (−5,−9)(-5,-9), Slope: 00
Equation of the line:   

Let's break down each situation:

### A) Point: \( (1, -3) \), Slope: \( \text{DNE} \)

The slope is given as "DNE," which stands for "Does Not Exist." This occurs when the line is vertical. A vertical line has an undefined slope and is represented by an equation in the form \( x = a \), where \( a \) is the x-coordinate of any point on the line.

Since the point given is \( (1, -3) \), the x-coordinate is \( 1 \). Therefore, the equation of the line is:
\[
x = 1
\]

### B) Point: \( (-5, -9) \), Slope: \( 0 \)

A slope of \( 0 \) corresponds to a horizontal line. The equation of a horizontal line is in the form \( y = b \), where \( b \) is the y-coordinate of any point on the line.

Since the point given is \( (-5, -9) \), the y-coordinate is \( -9 \). Therefore, the equation of the line is:
\[
y = -9
\]

### Final Answers:
A) \( x = 1 \)  
B) \( y = -9 \)

Would you like more details or further explanation on these types of lines?

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Here are some related questions that might interest you:
1. How do you find the equation of a line if the slope is infinite?
2. What is the difference between a horizontal and a vertical line?
3. How can you determine the slope of a line by looking at its equation?
4. What is the general form of the equation for a vertical line?
5. How do horizontal and vertical lines relate to their slopes?

**Tip:** For vertical lines, the equation is always in the form \( x = \text{constant} \), and for horizontal lines, it's always \( y = \text{constant} \).

Learn how to write the equations of vertical and horizontal lines. Includes detailed explanations and examples for lines with undefined and zero slopes. Suitable for students in Grades 7-9.

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