Question

Find the slope between the points
(
−
6
,

2
)
(−6, 2) and
(
5
,

10
)
(5, 10) .

Answer 1

To find the slope between the two points \((-6, 2)\) and \((5, 10)\), we can use the slope formula:

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

Let \((x_1, y_1) = (-6, 2)\) and \((x_2, y_2) = (5, 10)\).

Now plug in the values:

\[
m = \frac{10 - 2}{5 - (-6)}
\]

Calculate the numerator and denominator:

\[
m = \frac{8}{5 + 6} = \frac{8}{11}
\]

Therefore, the slope between the points \((-6, 2)\) and \((5, 10)\) is

\[
\frac{8}{11}.
\]