Answer: ²/₃
Step-by-step explanation:
The slope of the line = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - 2) ÷ (-3 - (-6))
= 2 ÷ (3)
∴ the slope = ²/₃
Testing my answer:
I can write an equation for the line and see if that line passes through the points. If it does then my math is right, if not, I made a mistake.
Equation for the line in point-slope form [(y - y₁) = m(x - x₁)]:
y - 2 = ²/₃ (x + 6) [using (-6, 2) as (x₁, y₁)]
I graphed it using Desmos. Since the line passes through both points then ²/₃ is indeed the slope.
