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

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1)$ and $(x_2,y_2)$

Step2: Identify given points

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

Step3: Substitute into slope formula

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

Step4: Simplify the fraction

$m = 2$

Answer:

2