Question

What is the slope of the line that passes through (3, 1) and (−1, 4)?

Answer 1

The slope (\(m\)) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula:

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

For the points (3, 1) and (-1, 4):

\[ m = \frac{{4 - 1}}{{-1 - 3}} \]

Simplifying:

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

So, the slope of the line passing through (3, 1) and (-1, 4) is \(-\frac{3}{4}\).

Answer 2

3/2 or 1.5

Explanation:

slope equals the change in y over the change in x

or you can graph it and count it... slope also equals rise over run