Question

Find the slope between the points
(
9
,

2
)
(9, 2) and
(
3
,

8
)
(3, 8)

Answer 1

To find the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula:

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

Given the points \((9, 2)\) and \((3, 8)\):

- \( (x_1, y_1) = (9, 2) \)
- \( (x_2, y_2) = (3, 8) \)

Now we can substitute the values into the slope formula:

\[
m = \frac{8 - 2}{3 - 9}
\]

Calculating the numerator and denominator:

\[
m = \frac{6}{3 - 9} = \frac{6}{-6} = -1
\]

Thus, the slope between the points \((9, 2)\) and \((3, 8)\) is:

\[
\boxed{-1}
\]