Problem

Find the slope of the line that goes through the given points. $(-4,2)$ and $(-1,8)$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is $\square$. (Type an integer or a simplified fraction.) B. The slope is undefined.

Solution

Step 1 :Let the given points be \((-4,2)\) and \((-1,8)\).

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: \[\text{slope} = \frac{8 - 2}{-1 - (-4)}\]

Step 4 :Simplify the expression: \[\text{slope} = \frac{6}{3}\]

Step 5 :\[\boxed{\text{slope} = 2}\]

From Solvely APP
Source: https://solvelyapp.com/problems/25879/

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