Question

1. (-3, -1), (-4, 0)
2. (-2, 3), (-1, 7)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

For problem 11: \((-3, -1)\), \((-4, 0)\)

Step2: Identify coordinates

Let \((x_1, y_1)=(-3, -1)\) and \((x_2, y_2)=(-4, 0)\).

Step3: Apply slope formula

\( m=\frac{0 - (-1)}{-4 - (-3)}=\frac{0 + 1}{-4 + 3}=\frac{1}{-1}=-1 \).

For problem 13: \((-2, 3)\), \((-1, 7)\)

Step2: Identify coordinates

Let \((x_1, y_1)=(-2, 3)\) and \((x_2, y_2)=(-1, 7)\).

Step3: Apply slope formula

\( m=\frac{7 - 3}{-1 - (-2)}=\frac{4}{-1 + 2}=\frac{4}{1}=4 \).

Answer:

For 11): Slope is \(-1\)
For 13): Slope is \(4\)