A coordinate plane with a straight line passing through the points (negative 6, negative 8) and (2, 8).

Question

Use the formula m =m equals StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction to calculate the slope of the line.

The slope of the line is

Answer 1

To calculate the slope of the line passing through the points \((-6, -8)\) and \((2, 8)\), we will use the slope formula:

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

Here:
- \( (x_1, y_1) = (-6, -8) \)
- \( (x_2, y_2) = (2, 8) \)

Now, substitute these coordinates into the formula:

\[ m = \frac{8 - (-8)}{2 - (-6)} \]

Simplify the numerator and the denominator:

\[ m = \frac{8 + 8}{2 + 6} \]

\[ m = \frac{16}{8} \]

\[ m = 2 \]

So, the slope of the line is \( m = 2 \).