Why can't the slope of a line be expressed as a decimal or a fraction?

The slope of a line should be expressed as a fraction. The formula is Rise over Run. Rise is how much further up u go and run is how much further across do u go. Does that answer your quetion?

My math teacher gave us the assignment to explain why the slope of a line can't be expressed as an improper fraction or as a decimal. I couldn't find anything in the the math textbook for this explanation.

It CAN be expressed as a fraction or decimal.

My math teacher gave us the assignment to explain why the slope of a line can't be written as an improper fraction or as a decimal. I can't find anything in my textbook explaining this. Is this a correct statement?

I don't understand why it can't be a fraction or decimal; however, I am not a mathematician. Perhaps there is some reason. I searched on www.google.com and found the first two sites listed examples in which the slope was a fraction. Here are the two sites. (Broken Link Removed)

Thank you for all your help.

No problem! I hope this helps.

You're welcome! If you have any more questions, feel free to ask. I'm here to help!

You're welcome! I apologize for any confusion caused. In mathematics, the slope of a line can indeed be expressed as a fraction or decimal. Let me clarify this for you.

The slope of a line is a measure of its steepness or incline and is calculated by dividing the change in the y-coordinates (vertical change, also known as the rise) by the change in the x-coordinates (horizontal change, known as the run) between two points on the line.

For example, if you have two points (x1, y1) and (x2, y2), the slope is given by the formula:

Slope = (y2 - y1) / (x2 - x1)

In this calculation, if the difference in y-coordinates is expressed as a fraction or decimal, the slope will also be expressed as a fraction or decimal, respectively.

So, the statement that the slope of a line can't be written as an improper fraction or as a decimal is incorrect. You can express the slope as a fraction or a decimal depending on the context and the values of the coordinates involved.

If you're still unsure about the assignment, I would recommend reaching out to your math teacher for further clarification.