Question

what is the slope of this line? (12, 36) (0, 18) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(0,18)$ and $(12,36)$. Let $(x_1,y_1)=(0,18)$ and $(x_2,y_2)=(12,36)$.

Step3: Substitute into formula

$m=\frac{36 - 18}{12-0}=\frac{18}{12}$

Step4: Simplify the fraction

$\frac{18}{12}=\frac{3}{2}$

Answer:

$\frac{3}{2}$