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} you just found that the slope is \frac{-1}{4}. how can you rewrite \frac{-1}{4} as an equivalent fraction? \frac{-4}{8} \frac{-2}{8}

Explanation:

Step1: Calculate slope from points

Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
Let $(x_1,y_1)=(-3,3)$ and $(x_2,y_2)=(5,1)$
$\text{slope} = \frac{1 - 3}{5 - (-3)} = \frac{-2}{8} = \frac{-1}{4}$

Step2: Find equivalent fraction

Multiply numerator/denominator by 2:
$\frac{-1 \times 2}{4 \times 2} = \frac{-2}{8}$

Answer:

The equivalent fraction is $\frac{-2}{8}$ (matches the second option provided)