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3 years ago

Write the slope-intercept form of the equation that passes through the point (4, -2) and is perpendicular to the line y =4x - 1

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

4 0

Answer:

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 = 4x - 2 ⇒ m₁=4

4×m₂ = -1 ⇒ m₂ = -¹/₄

The line y=-¹/₄x+b passes through point (4, -2) so the equation:

-2 = -¹/₄×4 + b must be true

-2 = -1 + b

b = -1

Therefore equation in slope-intercept form:

y = -¹/₄x - 1

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