K
Determine the slope of the line containing the given points. Graph the line.
\[
(-1,4) ;(5,-4)
\]
What is the slope of the line containing the points $(-1,4)$ and $(5,-4)$ ? Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is
(Type an integer or a simplified fraction.)
B. The slope is undefined.

Answer

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Answer

\[\boxed{\text{slope} = -\frac{4}{3}}\]

Steps

Step 1 ：Let the given points be $(-1,4)$ and $(5,-4)$.

Step 2 ：To find the slope of the line that goes through the given points, we can use the formula: \[\text{slope} = \frac{y2 - y1}{x2 - x1}\]

Step 3 ：Plug in the given points into the formula: \[\text{slope} = \frac{-4 - 4}{5 - (-1)}\]

Step 4 ：Simplify the expression: \[\text{slope} = \frac{-8}{6}\]

Step 5 ：Simplify the fraction to its simplest form: \[\text{slope} = -\frac{4}{3}\]

Step 6 ：\[\boxed{\text{slope} = -\frac{4}{3}}\]