Question

find the slope between $(3a , 2c)$ and $(3a , c + 1)$.
slope = slope

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: Assign coordinates

Let $(x_1,y_1)=(3a,2c)$ and $(x_2,y_2)=(3a,c+1)$

Step3: Substitute into formula

$m=\frac{(c+1)-2c}{3a-3a}$

Step4: Simplify numerator and denominator

$m=\frac{c+1-2c}{0}=\frac{1-c}{0}$

Step5: Interpret undefined slope

Division by 0 is undefined, so the slope is undefined.

Answer:

Undefined (the line is vertical)