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Consider the line

y = 5/6 x + 4


Find the equation of the line that is parallel to this line and passes through the point

−6,5


Find the equation of the line that is perpendicular to this line and passes through the point

−6, 5

Verified Answer :

Panoyin

y - y₁ = m(x - x₁)
y - 5 = ⁵/₆[x - (-6)]
y - 5 = ⁵/₆(x + 6)
y - 5 = ⁵/₆(x) + ⁵/₆(6)
y - 5 = ⁵/₆x + 5
  + 5          + 5
     y = ⁵/₆x + 10

y - y₁ = m(x - x₁)
y - 5 = -1¹/₅[x - (-6)]
y - 5 = 1¹/₅(x + 6)
y - 5 = 1¹/₅(x) + 1¹/₅(6)
y - 5 = 1¹/₅x + 7¹/₅
  + 5           + 5
     y = 1¹/₅x + 12¹/₅

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