Question

Find the slope

(-2,4) (6,-8)

a
-3/2

b
1/2

c
2

Answer 1

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

For the points \((-2, 4)\) and \((6, -8)\):

- \(x_1 = -2\)
- \(y_1 = 4\)
- \(x_2 = 6\)
- \(y_2 = -8\)

Now plug the values into the formula:

\[
m = \frac{-8 - 4}{6 - (-2)} = \frac{-12}{6 + 2} = \frac{-12}{8} = \frac{-3}{2}
\]

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

The correct answer is:

**a) -3/2**