Question

Find the slope between the points
(
6
,

1
)
(6, 1) and
(
2
,

6
)
(2, 6) .

Answer 1

To calculate the slope between the points \((6, 1)\) and \((2, 6)\), we can use the slope formula:

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

where \((x_1, y_1) = (6, 1)\) and \((x_2, y_2) = (2, 6)\).

Now, substituting the values into the formula:

\[
m = \frac{6 - 1}{2 - 6}
\]

Calculating the numerator and denominator:

\[
m = \frac{5}{2 - 6} = \frac{5}{-4}
\]

Thus, the slope is:

\[
m = -\frac{5}{4}
\]

So, the slope between the points \((6, 1)\) and \((2, 6)\) is \(-\frac{5}{4}\).