Questions: Evaluate the expression for ( m ), applying the slope formula. [ m=(8-19)/(-13-(-13)) ]

Solution Steps

To evaluate the expression for \( m \) using the slope formula, we need to substitute the given values into the formula. The slope formula is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \). In this case, the values are already substituted, so we just need to perform the arithmetic operations in the numerator and the denominator.

The slope formula for a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

In the given expression, we have:

\[ m = \frac{8 - 19}{-13 - (-13)} \]

Substitute the values into the slope formula:

• \(y_2 = 8\)
• \(y_1 = 19\)
• \(x_2 = -13\)
• \(x_1 = -13\)

Calculate the difference in the \(y\)-coordinates:

\[ 8 - 19 = -11 \]

Calculate the difference in the \(x\)-coordinates:

\[ -13 - (-13) = -13 + 13 = 0 \]

Substitute the simplified numerator and denominator back into the expression:

\[ m = \frac{-11}{0} \]

Since division by zero is undefined, the slope \(m\) is undefined.

Final Answer