Answer: y - 2 = -³/₂ (x + 6)
Explanation:
The slope of this line = (y₂ - y₁) ÷ (x₂ - x₁)
= (2 - (- 1 )) ÷ (-6 - (-4))
= 3 ÷ (-2)
= - ³/₂
The equation of the line can be determined using the point-slope form:
y - y₁ = m(x - x₁)
⇒ y - 2 = -³/₂(x - (-6))
y - 2 = -³/₂ (x + 6)