Question

what is the slope of the line through (-7, -8) and (0, 4)? choose 1 answer: a) 7/12 b) 12/7 c) -12/7 d) -7/12

Explanation:

Step1: Recall the slope formula

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

Step2: Identify the coordinates

Let \( (x_1, y_1)=(-7, -8) \) and \( (x_2, y_2)=(0, 4) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{4 - (-8)}{0 - (-7)} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 4 - (-8)=4 + 8 = 12 \).
Simplify the denominator: \( 0 - (-7)=0 + 7 = 7 \).
So, \( m=\frac{12}{7} \).

Answer:

B. \(\frac{12}{7}\)