Questions: Find the slope of the line that passes through the given points. Write the slope in simplest form. (1,4),(3,-6)

Solution Steps

The given points are \((1, 4)\) and \((3, -6)\).

Using the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), we substitute the coordinates: \[ m = \frac{-6 - 4}{3 - 1} \]

Calculating the numerator and denominator: \[ m = \frac{-10}{2} \] This simplifies to: \[ m = -5 \]

Thus, the slope of the line that passes through the points \((1, 4)\) and \((3, -6)\) is \( m = -5 \).

Final Answer