Question

or Find the slope of the line that passes through (6, 5) and (4, 8). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \((6, 5)\) and \((4, 8)\), we use the formula for the slope \(m\):

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

Assigning coordinates from the points:
- \( (x_1, y_1) = (6, 5) \)
- \( (x_2, y_2) = (4, 8) \)

Now substituting these values into the slope formula:

\[
m = \frac{8 - 5}{4 - 6}
\]

Calculating the differences in the numerator and denominator:

\[
m = \frac{3}{4 - 6} = \frac{3}{-2}
\]

This simplifies to:

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

Thus, the slope of the line that passes through the points \((6, 5)\) and \((4, 8)\) is:

\[
\boxed{-\frac{3}{2}}
\]