Find the slope of the line joining the points
(2,-3) and (6,2)

To find the slope of the line joining the points \((2, -3)\) and \((6, 2)\), we use the slope formula:

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

where:
- \((x_1, y_1) = (2, -3)\)
- \((x_2, y_2) = (6, 2)\)

Substituting the values:

\[
m = \frac{2 - (-3)}{6 - 2} = \frac{2 + 3}{4} = \frac{5}{4}
\]

So, the slope of the line is:

\[
\boxed{\frac{5}{4}}
\]

Would you like to see more details or have any questions? Here are some related questions:

1. How do you find the slope of a line from its equation?
2. What does a positive slope indicate about the line?
3. How do you determine if two lines are parallel?
4. What is the slope-intercept form of a line?
5. How can you find the equation of a line given two points?

**Tip:** The slope tells you how steep a line is and whether it rises or falls as you move from left to right.

Find the slope of the line joining the points (2,-3) and (6,2)

Learn how to find the slope of a line joining the points (2, -3) and (6, 2) using the slope formula. This problem covers key algebraic and coordinate geometry concepts, ideal for students in Grades 6-8.

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