What is the slope of the line that passes through the points left bracket, 9, comma, 1, right bracket(9,1) and left bracket, 10, comma, minus, 1, right bracket(10,−1)? Write your answer in simplest form.
The slope of the line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the slope formula
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
For the points \((9, 1)\) and \((10, -1)\), we have \(x_1 = 9\), \(y_1 = 1\), \(x_2 = 10\), and \(y_2 = -1\). Plugging these values into the formula gives us:
\[ m = \frac{-1 - 1}{10 - 9} = \frac{-2}{1} \]
So the slope of the line is \( m = -2 \) in simplest form.