Question

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

Explanation:

Step1: Identify 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: Select 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 values

Substitute into the slope - formula: $m=\frac{36 - 18}{12-0}$.

Step4: Calculate

$36−18 = 18$ and $12 - 0=12$, so $m=\frac{18}{12}$.

Step5: Simplify

Simplify $\frac{18}{12}$ by dividing both numerator and denominator by their greatest common divisor, which is 6. $\frac{18\div6}{12\div6}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$