Answer:
y = -¹/₁₄x + 3³/₁₄
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 14x - 2 ⇒ m₁=14
14×m₂ = -1 ⇒ m₂ = -¹/₁₄
The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:
3 = -¹/₁₄×3 + b must be true
3 = -³/₁₄ + b
b = 3³/₁₄
Therefore equation in slope-intercept form:
y = -¹/₁₄x + 3³/₁₄
