Find the slope of the line containing the points left parenthesis 1 comma 3 right parenthesis and left parenthesis 6 comma 8 right parenthesis.
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Part 1
The slope of the line containing the points left parenthesis 1 comma 3 right parenthesis and left parenthesis 6 comma 8 right parenthesis is

enter your response here.
​(Type an integer or a simplified​ fraction.)

To find the slope of a line containing two points, we use the slope formula:

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

Given the points \((1, 3)\) and \((6, 8)\), we can identify \(x_1 = 1\), \(y_1 = 3\), \(x_2 = 6\), and \(y_2 = 8\). Plugging these values into the formula:

\[
m = \frac{{8 - 3}}{{6 - 1}} = \frac{5}{5} = 1
\]

So, the slope of the line is \(1\).

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. What is the slope if the points were \((1, 3)\) and \((4, 7)\)?
2. How do you interpret the slope geometrically?
3. What is the equation of the line passing through \((1, 3)\) and \((6, 8)\)?
4. How does the slope change if both points are shifted by a constant value?
5. What is the relationship between slope and parallel lines?

**Tip:** The slope is a measure of how steep a line is and represents the rate of change of \(y\) with respect to \(x\).

Find the slope of the line containing the points (1, 3) and (6, 8).

Learn how to find the slope of a line passing through the points (1, 3) and (6, 8) using the slope formula. This step-by-step solution covers key geometry concepts suitable for students in Grades 6-8.

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