Question

find the slopes of lines m and n. line m goes through points a and b. what is the slope of line m? solve on paper, then enter your answer on zearn. point a: (11, -4) point b: (-1, 2) the slope of line m is .

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 coordinates

For points \( A(11, -4) \) and \( B(-1, 2) \), we have \( x_1 = 11 \), \( y_1 = -4 \), \( x_2 = -1 \), \( y_2 = 2 \).

Step3: Substitute into formula

\( m=\frac{2 - (-4)}{-1 - 11}=\frac{2 + 4}{-12}=\frac{6}{-12} \).

Step4: Simplify the fraction

\( \frac{6}{-12}=-\frac{1}{2} \).

Answer:

\(-\frac{1}{2}\)