Question

1. the slope of the line is

determine the slope of this line.
pick 2 points and give
coordinates (x, y) =

find 2 points
make the right triangle
blank 1:

Explanation:

Step1: Pick two points

Let's pick the points \((0, - 4)\) and \((8,-8)\) on the line.

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1,y_1)=(0,-4)\) and \((x_2,y_2)=(8,-8)\).
Then \(m=\frac{-8-(-4)}{8 - 0}=\frac{-8 + 4}{8}=\frac{-4}{8}\).

Step3: Simplify the fraction

Simplify \(\frac{-4}{8}\) to \(-\frac{1}{2}\).

Answer:

\(-\frac{1}{2}\)