What is the slope of the line that passes through the points $(7,-4)$ and $(11,-4)$ ? Write your answer in simplest form.
Answer
Final Answer: The slope of the line is \(\boxed{0}\)
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 \(\boxed{0}\)
