Question

line m goes through points a and b. what is the slope of line m? now, use the coordinates to write an expression you could use to find the change in vertical distance for a given change in horizontal distance. point a: (3, 2) point b: (8, 5) slope = (vertical distance)/(horizontal distance) = (change in y - values)/(change in x - values) = (□ - □)/(□ - □)

Explanation:

Step1: Identify y and x values

Point A: $(x_1,y_1)=(3,2)$; Point B: $(x_2,y_2)=(8,5)$

Step2: Plug into slope formula

Slope $=\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}=\frac{y_2 - y_1}{x_2 - x_1}=\frac{5-2}{8-3}$

Step3: Calculate the slope

$\frac{5-2}{8-3}=\frac{3}{5}$

Answer:

The expression for slope is $\frac{5-2}{8-3}$, and the slope of line $m$ is $\frac{3}{5}$.