Question

What is the slope of the line through the points (-2, -1) and (4, 3)?

5/2

2/3

3/2

2/5

Answer 1

To find the slope of the line through the points \((-2, -1)\) and \( (4, 3)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (-2, -1)\) and \((x_2, y_2) = (4, 3)\). Plugging the values into the formula:

\[
m = \frac{3 - (-1)}{4 - (-2)} = \frac{3 + 1}{4 + 2} = \frac{4}{6} = \frac{2}{3}
\]

So, the slope of the line is \(\frac{2}{3}\).

Thus, the correct answer is:

**2/3**