Question

find the slope of the line through each pair of points.

1. (-9, -16), (5, -17)
2. (9, 0), (11, -18)
3. (20, 9), (-4, 3)
4. (-2, -2), (12, 12)
5. (-3, 20), (-5, 4)
6. (-6, 9), (-13, 9)
7. (15, 3), (-17, 12)
8. (-13, 17), (-12, -9)

Explanation:

Problem 11: $(-9, -16), (5, -17)$

Step1: Recall slope formula

Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Let \( (x_1, y_1) = (-9, -16) \), \( (x_2, y_2) = (5, -17) \)

Step2: Substitute values

\( m = \frac{-17 - (-16)}{5 - (-9)} = \frac{-17 + 16}{5 + 9} = \frac{-1}{14} \)

Step1: Recall slope formula

Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Let \( (x_1, y_1) = (-3, 20) \), \( (x_2, y_2) = (-5, 4) \)

Step2: Substitute values

\( m = \frac{4 - 20}{-5 - (-3)} = \frac{-16}{-5 + 3} = \frac{-16}{-2} = 8 \)

Step1: Recall slope formula

Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Let \( (x_1, y_1) = (9, 0) \), \( (x_2, y_2) = (11, -18) \)

Step2: Substitute values

\( m = \frac{-18 - 0}{11 - 9} = \frac{-18}{2} = -9 \)

Answer:

\(-\frac{1}{14}\)

Problem 12: $(-3, 20), (-5, 4)$