Problem

What is the slope of the line that passes through the points $(7,-4)$ and $(11,-4)$ ? Write your answer in simplest form.

Solution

Step 1 :The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 2 :In this case, the two points are \((7,-4)\) and \((11,-4)\). So, we can substitute these values into the formula to find the slope.

Step 3 :\[ m = \frac{-4 - (-4)}{11 - 7} = 0.0 \]

Step 4 :The slope of the line that passes through the points \((7,-4)\) and \((11,-4)\) is 0. This makes sense because the y-coordinates of the two points are the same, which means the line is horizontal.

Step 5 :Final Answer: The slope of the line is \(\boxed{0}\)

From Solvely APP
Source: https://solvelyapp.com/problems/27134/

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