Write an equation of the line that passes through each pair of points. (0, 5), (-3, 5)

To find the equation of the line that passes through the points \((0, 5)\) and \((-3, 5)\), follow these steps:

### Step 1: Find the slope of the line
The slope \(m\) of the line is given by the formula:

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

Substitute the given points \((x_1, y_1) = (0, 5)\) and \((x_2, y_2) = (-3, 5)\):

\[
m = \frac{5 - 5}{-3 - 0} = \frac{0}{-3} = 0
\]

So, the slope \(m = 0\).

### Step 2: Use the point-slope form or slope-intercept form to find the equation of the line
Since the slope \(m = 0\), the line is horizontal. The equation of a horizontal line is simply \(y = \text{constant}\).

Since both points have a \(y\)-coordinate of 5, the equation of the line is:

\[
y = 5
\]

### Final Answer
The equation of the line that passes through the points \((0, 5)\) and \((-3, 5)\) is:

\[
y = 5
\]

Would you like more details or have any questions?

Here are some related questions:

1. What is the general form of the equation for a horizontal line?
2. How do you determine if a line is vertical or horizontal?
3. What is the slope of a vertical line?
4. How do you write the equation of a vertical line?
5. Can two different horizontal lines intersect?

**Tip:** A horizontal line always has a slope of 0 and is represented by an equation of the form \(y = \text{constant}\).

Learn how to find the equation of a line passing through the points (0, 5) and (-3, 5). Understand the concept of slope, the formula for calculating slope, and how to write the equation of a horizontal line. Suitable for students in Grades 6-8.

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