Question

ok

Answer 1

do you know what the slope is in the equation y = -2x + 4 ?

Answer 2

correct....but for a perpendicular line we will need the negative reciprocal of that slope. All that means is " flip " the fraction and change the sign. The negative reciprocal of slope -2 (also know as -2/1) = 1/2 -- you see how I flipped the fraction and changed the sign. So the slope you will use is 1/2.

Now use point slope formula : y - y1 = m(x - x1)
slope(m) = 1/2
(4,1) x1 = 4 and y1 = 1
now lets sub..
y - 1 = 1/2(x - 4)

can you solve it now by solving for y ?

Answer 3

y - 1 = 1/2(x - 4)
y - 1 = 1/2x - 2
y = 1/2x - 2 + 1
y = 1/2x - 1

you are correct, good job :)

Answer 4

anytime :)