Questions: Find the slope of the line that passes through (10,7) and (1,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Transcript text: Find the slope of the line that passes through $(10,7)$ and $(1,8)$.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Solution
Solution Steps
Step 1: Identify the coordinates of the two points
The given points are \((x_1, y_1) = (10, 7)\) and \((x_2, y_2) = (1, 8)\).
Step 2: Apply the slope formula
The slope \(m\) of the 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 3: Substitute the given values into the formula
Substituting the given values into the formula, we get:
\[m = \frac{8 - 7}{1 - 10} = -0\]
Final Answer:
The slope of the line that passes through the points \((10, 7)\) and \((1, 8)\) is -0.