Answer:
y = ³/₄x - ⁹/₂
Step-by-step explanation:
The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = ³/₄
(2, -3) ⇒ x₁ = 2, y₁ = -3
So the point-slope form of the equation:
y - (-3) =³/₄(x - 2)
or: y + 3 = ³/₄(x - 2)
y + 3 = ³/₄x - ³/₂ {subtract 3 from both sides}
y = ³/₄x - ³/₂ - ⁶/₂
y = ³/₄x - ⁹/₂
