Question

what is the slope of the line through (6, 9) and (7, 1)? choose 1 answer. a (-8) b (\frac{1}{8}) c (-\frac{1}{8}) d (8) you might need: calculator

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 points

Let \( (x_1, y_1)=(6, 9) \) and \( (x_2, y_2)=(7, 1) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{1 - 9}{7 - 6} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 1 - 9=-8 \).
Simplify the denominator: \( 7 - 6 = 1 \).
So, \( m=\frac{-8}{1}=-8 \).

Answer:

A. \(-8\)