Respuesta :

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]