Taylorgarmstrong Taylorgarmstrong
  • 22-09-2021
  • Mathematics
contestada

Write the equation of a line perpendicular to y=-2x+1 through (2,3) in slope intercept form.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 22-09-2021

Answer:

[tex]y=\dfrac{1}{2}x+2[/tex]

Step-by-step explanation:

y= - 2x + 1

Compare with y = mx + b

m = Slope = -2

Slope of the perpendicular line = -1/m = -1/-2 = 1/2

Point (2,3)

Equation : y -y1 =m(x -x1)

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

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