Perpendicular to y=-2x+3, goes through (6, 4)

Question

help me with this problem pleasee 

Answer 1

To be perpendicular, the slope must be 

 

m = -1/(-2) = 1/2

 

So far we have

 

y = (1/2)x + b

 

Find b using the given point (6,4)

 

4 = (1/2)(6) + b = 3 + b ⇒

 

b = 1

 

y = (1/2)x + 1