Question

what is the slope of this line? (0, 6) (4, 3)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

We have points \((0, 6)\) and \((4, 3)\). Let \((x_1, y_1)=(0, 6)\) and \((x_2, y_2)=(4, 3)\).

Step3: Substitute into the formula

Substitute into \( m=\frac{y_2 - y_1}{x_2 - x_1} \):
\( m=\frac{3 - 6}{4 - 0}=\frac{-3}{4}=-\frac{3}{4} \)

Answer:

\(-\frac{3}{4}\)