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

Transcript text: 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: Identify the coordinates of the two points

The given points are $ (7, -4) $ and $ (11, -4) $.

Step 2: Use the slope formula

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

Step 3: Substitute the values into the formula

Substitute $ (x_1, y_1) = (7, -4) $ and $ (x_2, y_2) = (11, -4) $ into the formula: \[ m = \frac{-4 - (-4)}{11 - 7} \]

Step 4: Simplify the numerator and denominator

\[ m = \frac{0}{4} \]

Step 5: Calculate the slope

\[ m = 0 \]

The slope of the line is $ 0 $.

$\boxed{0}$

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