Question

.2 Find the slope from two points
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Find the slope of the line that passes through (6, 8) and (4, 5).

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

Answer 1

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

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

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

Now plug in the values:

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

Calculating the differences:

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

Simplifying this gives:

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

So, the slope of the line that passes through the points (6, 8) and (4, 5) is \(\frac{3}{2}\).