Question

what is the slope of the line (6,-2) (3,-3)

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 for slope \(m\):

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

Given the points \((6, -2)\) and \((3, -3)\):

- \((x_1, y_1) = (6, -2)\)
- \((x_2, y_2) = (3, -3)\)

Now, plug the values into the slope formula:

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

So, the slope of the line is \(\frac{1}{3}\).