Answer:
Slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Step 1: Identify x1, x2, y1, y2
Slope Formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1, y1) -> (3, 3)
(x2, y2) -> (-6, -3)
Step 2: Plug into the formula
Slope = [tex]\frac{-3 - 3}{-6 - 3}[/tex]
Slope = [tex]\frac{-6}{-9}[/tex]
The top negative sign and the bottom negative sign cancel to make a positive number.
Slope = [tex]\frac{-6}{-9}[/tex]
Slope = [tex]\frac{6}{9}[/tex]
The top and bottom can be simplified by a factor of 3.
Slope = [tex]\frac{6}{9}[/tex]
Slope = [tex]\frac{6/3}{9/3}[/tex]
Slope = [tex]\frac{2}{3}[/tex]
Answer: Slope = [tex]\frac{2}{3}[/tex]
