Asked by dee

W.2 Find the slope from two points
VZG
Find the slope of the line that passes through (8, 10) and (6, 13).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answered by GPT-4o mini
To find the slope of the line that passes through the two points \((8, 10)\) and \((6, 13)\), we use the formula for the slope \(m\):

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

Here, we can assign the points as follows:
- \((x_1, y_1) = (8, 10)\)
- \((x_2, y_2) = (6, 13)\)

Now, substitute the values into the slope formula:

\[
m = \frac{13 - 10}{6 - 8}
\]

Now calculate the differences:

\[
m = \frac{3}{6 - 8} = \frac{3}{-2}
\]

Thus, the slope is:

\[
m = -\frac{3}{2}
\]

The simplified slope of the line that passes through the points \((8, 10)\) and \((6, 13)\) is \(-\frac{3}{2}\).
There are no human answers yet. A form for humans to post answers is coming very soon!

Related Questions