Answer:
y = -4x + 5 {slope-intercept form}
Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = - 4x + 3 ⇒ m₁ = -4 ⇒ m₂ = -4
The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = -4
(2, -3) ⇒ x₁ = 2, y₁ = -3
point-slope form:
y - (-3) = -4(x - 2)
y + 3 = -4x + 8 {subtact 3 from both sides}
y = -4x + 5 ← slope-intercept form
