Question

What is the equation of the line that passes through the point (4, 1) and is perpendicular to the line y = –2x + 4?

Answer 1

y = -1/2x – 3

y = -1/2x + 1

y = 1/2x + 4

y = 1/2x – 1

Answer 2

i think y=1/2(x-4) not x+4

Answer 3

idk those are all the multiple choice

Answer 4

the slope of the line y=-2x+4 is -2
as the line we required is perpendicular to this line then product of slopes are -1
m1*m2=-1 m1*-2=-1 m1=1/2
then we get the slope of our required is 1/2
now the point slope form is (y-y1)=m(x-x1)
now y-1=1/2(x-4)
y=1/2(x-4) + 1
when we take lcm and simplify we get
y=1/2(x-2)

but there is no option i couldn't understand