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: (15, -2) point b: (-3, 4) the slope of line m is blank.

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

For points \( A(15, -2) \) and \( B(-3, 4) \), let \( x_1 = 15 \), \( y_1=-2 \), \( x_2=-3 \), \( y_2 = 4 \).

Step3: Substitute into formula

Substitute values into the slope formula: \( \frac{4 - (-2)}{-3 - 15}=\frac{4 + 2}{-18}=\frac{6}{-18} \).

Step4: Simplify the fraction

Simplify \( \frac{6}{-18} \) by dividing numerator and denominator by 6: \( \frac{6\div6}{-18\div6}=\frac{1}{-3}=-\frac{1}{3} \).

Answer:

\(-\frac{1}{3}\)