What is the slope of the line that passes through the points left parenthesis, 3, comma, minus, 3, right parenthesis(3,−3) and left parenthesis, 18, comma, minus, 3, right parenthesis(18,−3)? Write your answer in *simplest form*.

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:

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

Given the points \((3, -3)\) and \((18, -3)\), we assign:
- \( x_1 = 3 \), \( y_1 = -3 \)
- \( x_2 = 18 \), \( y_2 = -3 \)

Now substitute the values into the formula:

\[
m = \frac{-3 - (-3)}{18 - 3} = \frac{-3 + 3}{15} = \frac{0}{15} = 0
\]

Thus, the slope of the line is:

\[
m = 0
\]

This means the line is horizontal.

Would you like more details or have any questions?

Here are some related questions to explore further:
1. What is the equation of a line with a slope of 0?
2. How do you interpret the slope of a vertical line?
3. Can a line have an undefined slope? Explain with examples.
4. How can you determine if two lines are parallel or perpendicular based on their slopes?
5. How do you find the slope of a line given its equation in standard form?

**Tip:** A slope of 0 always indicates a horizontal line, where the y-coordinates are constant.

What is the slope of the line that passes through the points (3,−3) and (18,−3)? Write your answer in simplest form.

Learn how to find the slope of a line passing through the points (3,−3) and (18,−3) using the slope formula. This problem covers essential concepts in algebra and coordinate geometry, suitable for students in Grades 6-8.

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