a line passes through the points (4,-1) and (2,3) what is the slope of the line

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

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

Substituting the points \((4, -1)\) and \((2, 3)\) into the formula:

\[
m = \frac{3 - (-1)}{2 - 4} = \frac{3 + 1}{2 - 4} = \frac{4}{-2} = -2
\]

So, the slope of the line is \(m = -2\).

Would you like more details or have any further questions?

Here are 5 related questions to explore this topic:
1. How do you find the equation of a line given two points?
2. What is the slope of a vertical line?
3. What does the slope represent in the context of a graph?
4. Can the slope of a line be zero? If so, under what conditions?
5. How do you graph a line if you know the slope and a point?

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

A line passes through the points (4,-1) and (2,3) what is the slope of the line?

Discover how to calculate the slope of a line passing through points (4, -1) and (2, 3) using the slope formula. This problem focuses on essential concepts in algebra and coordinate geometry, suitable for students in Grades 7-9.

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