Find an equation of the line through P(6,0) perpendicular to L:2x-y=-2?

Question

i need help with this algebra two question i cant figure it out can someone hel me????

Answer 1

2x - y = -2 =  

y = 2x + 2 this is slope intercept form

a perpendicular line will be the inverse reciprocal

so we want a line with slope = -1/2 and goes thru (6,0)

subsitute in slope formula

y = -(1/2)x + c

0=-(1/2) * 6 + c

so  c=3 and answer =

y = -1/2x + 3