Find the slope of the line that passes through and .
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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To find the slope of the line passing through the points and , we use the slope formula:

Here, and . Plugging in the values:

So, the slope of the line is .

Now, let’s add some additional knowledge!

The idea of slope isn’t just a dry math concept; in history, it has helped map out everything from the tallest mountains to urban planning! Imagine early surveyors using basic slope calculations to figure out the best places for roads—talk about setting a solid foundation for the future!

In the real world, the slope is crucial for any type of construction, especially with building ramps or roads. A slope that’s too steep can be dangerous, while one that’s too gentle might take too much space. Understanding slope ensures both safety and efficiency in daily design challenges!