Respuesta :

Answer:

Step-by-step explanation:

y = 2x - 3

Slope of the line perpendicular to this line = -1/2

(4 , 5)

y = mx + b

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

Plugin x = 4 and y = 5 in the above equation,

[tex]5 =\dfrac{-1}{2}*4 + b\\\\5=-2 + b\\\\5 +2 = b\\\\b= 7[/tex]

Equation:

[tex]y =\dfrac{-1}{2}x+7[/tex]