.2 Find the slope from two points

Question

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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 \(\frac{3}{2}\).