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 $(x_1,y_1)=(1,2)$ and $(x_2,y_2)=(3,6)$

Step3: Substitute into formula

$m=\frac{6-2}{3-1}=\frac{4}{2}$

Step4: Simplify the fraction

$m=2$

Answer:

2