Question

1.
(8, 7) and (2, 12)

slope:_________
2.
(12, -10) and (15, -8)

slope:_________

Explanation:

Step1: Recall slope formula

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Solve for first pair (8,7) & (2,12)

Let $(x_1,y_1)=(8,7)$, $(x_2,y_2)=(2,12)$
$m_1 = \frac{12 - 7}{2 - 8} = \frac{5}{-6} = -\frac{5}{6}$

Step3: Solve for second pair (12,-10) & (15,-8)

Let $(x_1,y_1)=(12,-10)$, $(x_2,y_2)=(15,-8)$
$m_2 = \frac{-8 - (-10)}{15 - 12} = \frac{2}{3}$

Answer:

1. $-\frac{5}{6}$
2. $\frac{2}{3}$