What is the slope of the line that passes through the points
and ? Write your answer in simplest form.
Answer Attempt 1 out of 2

To find the slope of a line passing through two points and , you can use the slope formula . Here, and . Plugging in the values gives:

Thus, the slope of the line is .

Finding the slope of a line is a foundational concept in algebra and geometry, and it’s widely applicable in various fields like economics, engineering, and physics. Understanding how to calculate the slope helps in analyzing trends and interpreting data. For example, in a business context, the slope can represent the rate of change in revenue with respect to time—essentially showing how fast sales are growing or declining!

A common mistake when calculating slope is to confuse the order of points—always remember to consistently use and in the formula. Another tip is to double-check your subtraction; sign errors often creep in if you’re not carefully managing negatives, especially when dealing with points in different quadrants. Keeping the coordinates neat and organized will help mitigate these missteps!