What is the slope of the line that passes through the points left parenthesis, minus, 6, comma, 4, right parenthesis(−6,4) and left parenthesis, minus, 15, comma, 4, right parenthesis(−15,4)? Write your answer in simplest form.

To find the slope of the line passing through two points \((-6, 4)\) and \((-15, 4)\), we use the slope formula:

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

Here, \((x_1, y_1) = (-6, 4)\) and \((x_2, y_2) = (-15, 4)\).

Now, substitute the values into the slope formula:

\[
m = \frac{4 - 4}{-15 - (-6)} = \frac{0}{-15 + 6} = \frac{0}{-9} = 0
\]

So, the slope of the line is:

\[
m = 0
\]

### Conclusion:
The slope of the line is \( 0 \), which indicates that the line is horizontal.

Would you like further details on this, or do you have any questions?

### Relative Questions:
1. What does a slope of zero signify in a graph?
2. How would you find the equation of the line with these points?
3. What is the slope of a vertical line?
4. Can two points on the same line have different slopes?
5. How would the slope change if the \( y \)-coordinates were different?

### Tip:
When the \( y \)-coordinates of two points are the same, the slope of the line is always zero because the line is horizontal.

What is the slope of the line that passes through the points (-6, 4) and (-15, 4)? Write your answer in simplest form.

Discover how to find the slope of a line passing through the points (-6, 4) and (-15, 4) using the slope formula. This problem introduces coordinate geometry concepts and explains why the slope is zero for horizontal lines. Suitable for students in Grades 6-8.

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