Problem

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.

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/5OXMTASrDD/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download