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.

Answer

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Answer

\[\boxed{\text{slope} = 2}\]

Steps

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 ：\[\boxed{\text{slope} = 2}\]