Question

what is the slope of this line? (0, 6) (4, 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 $(0,6)$ and $(4,3)$. Let $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(4,3)$.

Step3: Substitute values into formula

$m=\frac{3 - 6}{4 - 0}=\frac{-3}{4}$.

Answer:

$-\frac{3}{4}$