What is the slope of the line that passes through the points -7,-3 and -15,-14 Write your answer in simplest form.
The slope of the line passing through two points, \((x_1, y_1)\) and \((x_2, y_2)\), can be calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
For the points \((-7, -3)\) and \((-15, -14)\):
\[ m = \frac{-14 - (-3)}{-15 - (-7)} \]
\[ m = \frac{-14 + 3}{-15 + 7} \]
\[ m = \frac{-11}{-8} \]
So, the slope \(m\) simplifies to:
\[ m = \frac{11}{8} \]
The slope of the line in simplest form that passes through the points \((-7, -3)\) and \((-15, -14)\) is \(\frac{11}{8}\).