Question

what is the slope of the line that goes through points a and b? subtract in the numerator and denominator to find the slope of the line. point a: (-3, 3) point b: (5, 1) slope = \frac{vertical distance}{horizontal distance} = \frac{1 - 3}{5 - (-3)} = \frac{1}{4}

Explanation:

Step1: Calculate vertical change

$1 - 3 = -2$

Step2: Calculate horizontal change

$5 - (-3) = 5 + 3 = 8$

Step3: Simplify the slope fraction

$\frac{-2}{8} = \frac{-1}{4}$

Answer:

$\frac{-1}{4}$