Question

what is the slope of this line? (4, 6) (3, 3) 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 $(3,3)$ and $(4,6)$. Let $(x_1,y_1)=(3,3)$ and $(x_2,y_2)=(4,6)$.

Step3: Substitute values

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

Step4: Calculate

$m=\frac{3}{1}=3$.

Answer:

$3$