Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 given points

Let $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(4,6)$.

Step3: Substitute into formula

$m=\frac{6-3}{4-2}$

Step4: Calculate and simplify

$m=\frac{3}{2}$

Answer:

$\frac{3}{2}$