Question

line e goes through points a and b. what is the slope of line e?
start by writing an expression that would represent the slope of line e, or the change in vertical distance for a given change in horizontal distance.
slope = \frac{vertical distance}{horizontal distance}
=\frac{\boxed{}}{\boxed{}}
change in y - values change in x - values

Explanation:

Step1: Identify slope components

Slope = $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}$

Step2: Calculate $\Delta y$ (vertical change)

$\Delta y = 6 - 3 = 3$

Step3: Calculate $\Delta x$ (horizontal change)

$\Delta x = 4 - 2 = 2$

Step4: Compute slope

$\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{3}{2}$

Answer:

Slope = $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{3}{2}$