To find the slope of line m that goes through points A and B, we can use the formula for slope:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) \) are the coordinates of point A, and \( (x_2, y_2) \) are the coordinates of point B.
Given:
-
Point A: \( (10, -3) \)
- \( x_1 = 10 \)
- \( y_1 = -3 \)
-
Point B: \( (-6, 1) \)
- \( x_2 = -6 \)
- \( y_2 = 1 \)
Now, plug the coordinates into the slope formula:
\[ \text{slope} (m) = \frac{1 - (-3)}{-6 - 10} \]
Calculate the differences:
\[ \text{slope} (m) = \frac{1 + 3}{-16} = \frac{4}{-16} \]
Now, simplify the fraction:
\[ \text{slope} (m) = -\frac{1}{4} \]
Thus, the slope of line m is \(-\frac{1}{4}\).