Question

What is the slope of the line through
\[(6,9)\] and
\[(7,1)\]?
Choose 1 answer:
Choose 1 answer:
(Choice A)

\[-\dfrac{1}8\]
A

\[-\dfrac{1}8\]
(Choice B)

\[\dfrac{1}8\]
B

\[\dfrac{1}8\]
(Choice C)
\[-8\]
C
\[-8\]
(Choice D)
\[8\]
D
\[8\]

Answer 1

To find the slope of the line through the points \((6,9)\) and \((7,1)\), we can use the slope formula:

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

where \((x_1, y_1) = (6, 9)\) and \((x_2, y_2) = (7, 1)\).

Now we substitute the coordinates into the formula:

\[
m = \frac{1 - 9}{7 - 6}
\]

Calculating the differences:

\[
m = \frac{-8}{1} = -8
\]

Thus, the slope of the line is \(-8\). Therefore, the correct answer is:

**(Choice C) \(-8\)**.