Question

find the slope of the line that passes through: (-3, -4) and (7, 6)

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Let \( (x_1, y_1)=(-3, -4) \) and \( (x_2, y_2)=(7, 6) \).

Step3: Substitute into formula

\( m=\frac{6 - (-4)}{7 - (-3)}=\frac{6 + 4}{7 + 3}=\frac{10}{10}=1 \).

Answer:

1