Respuesta :

mhanifa

Answer:

  • y - 3 = 1/2(x - 2)

Step-by-step explanation:

The given line has a slope of -2.

The perpendicular line will have a negative-reciprocal slope:

  • m = 1/2

Use same point-slope form and the point P(2, 3):

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

[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]

Here slope is -2

  • The perpendicular line have additive and multiplicative inverse slope

m=1/2

Put co-ordinates of P in equation

[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]

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