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Write an equation of the line that passes through (1,5) and is perpendicular to the line shown.
An equation of the perpendicular line is y=

Write An Equation Of The Line That Passes Through 15 And Is Perpendicular To The Line Shown An Equation Of The Perpendicular Line Is Y class=

Sagot :

mhanifa

Answer:

  • y = 3x + 2

Step-by-step explanation:

The line on the graph has points:

  • (- 3, 4) and (3, 2)

Its slope is:

  • m = (2 - 4)/(3 - (- 3)) = - 2 / 6 = - 1/3

Perpendicular line has opposite reciprocal slope:

  • m = - 1 / (- 1/3) = 3

And the line passes through the point (1, 5).

Find the equation of the line:

  • y - y₁ = m(x - x₁)
  • y - 5 = 3(x - 1)
  • y = 3x - 3 + 5
  • y = 3x + 2
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