Line m goes through points A and B. What is the slope of line m? Solve on paper, then enter your answer on Zearn.

Question

Point A : (15, -2) Point B : (-5, 2)

The slope of line m is
.

Answer 1

To find the slope of line \( m \) that goes through points \( A(15, -2) \) and \( B(-5, 2) \), we can use the slope formula:

\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]

Let's assign the points:

• \( A = (x_1, y_1) = (15, -2) \)
• \( B = (x_2, y_2) = (-5, 2) \)

Now substitute the coordinates into the slope formula:

\[ m = \frac{2 - (-2)}{-5 - 15} \] \[ m = \frac{2 + 2}{-5 - 15} \] \[ m = \frac{4}{-20} \] \[ m = -\frac{1}{5} \]

Therefore, the slope of line \( m \) is

\[ \boxed{-\frac{1}{5}} \]