Find the equation of the line perpendicular to line y= -2x + 3 that goes through point (4,5)

Answer 1

y=(1/2)x + b perpendicular equation has slope that's the negative inverse of -2, change the sign and flip the number upside down - 2 = -2/1 flip it to 1/2, change the sign +1/2

5=(1/2)4 + b where b= the y intercept. calculate it by plugging in the point y=5, x= 4 (4,5)

b = 5-2 = 3

b =3

y =(1/2)x +3

or

2y = x+3 or

2y-x= 3