Question

1. (-4, 7), (-6, -4)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( (x_1, y_1)=(-4, 7) \) and \( (x_2, y_2)=(-6, -4) \).

Step2: Substitute the values into the formula

Substitute \( x_1=-4 \), \( y_1 = 7 \), \( x_2=-6 \), \( y_2=-4 \) into the slope formula:
\( m=\frac{-4 - 7}{-6-(-4)} \)

Step3: Simplify the numerator and denominator

First, simplify the numerator: \( -4 - 7=-11 \)
Then, simplify the denominator: \( -6 - (-4)=-6 + 4=-2 \)
So, \( m=\frac{-11}{-2}=\frac{11}{2} \)

Answer:

\( \frac{11}{2} \)