Question

1. tek a.3a

what is the slope of the line that passes through the point (26, 7) and (-39, 12)?
m =

Explanation:

Step1: Recall 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 points

Let \((x_1, y_1)=(26, 7)\) and \((x_2, y_2)=(- 39, 12)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{12 - 7}{-39 - 26} \).

Step4: Simplify numerator and denominator

Simplify numerator: \( 12 - 7 = 5 \).
Simplify denominator: \( -39 - 26=-65 \).
So, \( m = \frac{5}{-65}=\frac{1}{-13}=-\frac{1}{13} \).

Answer:

\(-\frac{1}{13}\)