Question

W.2 Find the slope from two points
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Find the slope of the line that passes through (10, 7) and (3, 1).

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 \( (10, 7) \) and \( (3, 1) \), we can use the slope formula:

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

Where \( (x_1, y_1) = (10, 7) \) and \( (x_2, y_2) = (3, 1) \).

Now substitute the values into the formula:

\[
m = \frac{1 - 7}{3 - 10}
\]

Calculate the differences:

\[
m = \frac{-6}{-7}
\]

The negatives cancel out:

\[
m = \frac{6}{7}
\]

So, the slope of the line that passes through the points \( (10, 7) \) and \( (3, 1) \) is \( \frac{6}{7} \).