Question
What is the slope of the line if the line passes through the points (25, 20) and (30, 32)?
12
5/12
12/5
5
12
5/12
12/5
5
Answers
GPT-4o mini
To find the slope of the line that passes through the points (25, 20) and (30, 32), we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we have:
- \((x_1, y_1) = (25, 20)\)
- \((x_2, y_2) = (30, 32)\)
Now plug these values into the formula:
\[
m = \frac{32 - 20}{30 - 25} = \frac{12}{5}
\]
Thus, the slope of the line is \(\frac{12}{5}\).
Therefore, the answer is \(\frac{12}{5}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we have:
- \((x_1, y_1) = (25, 20)\)
- \((x_2, y_2) = (30, 32)\)
Now plug these values into the formula:
\[
m = \frac{32 - 20}{30 - 25} = \frac{12}{5}
\]
Thus, the slope of the line is \(\frac{12}{5}\).
Therefore, the answer is \(\frac{12}{5}\).