Question

Find the slope between the points
(
7
,

−
1
)
(7, −1) and
(
−
8
,

6
)
(−8, 6

Answer 1

To find the slope between the two points \((7, -1)\) and \((-8, 6)\), we can use the slope formula:

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

where \((x_1, y_1) = (7, -1)\) and \((x_2, y_2) = (-8, 6)\).

Substituting in these values:

\[
m = \frac{6 - (-1)}{-8 - 7}
\]

This simplifies to:

\[
m = \frac{6 + 1}{-8 - 7} = \frac{7}{-15}
\]

So, the slope \(m\) between the points \((7, -1)\) and \((-8, 6)\) is:

\[
m = -\frac{7}{15}
\]