Question

which line contains the point (0,2) and is perpendicular to y=1/4x+2 ?
the choices are :
a. y=1/4x+1
b. y=-1/4x+2
c. y=-4x+2
d. y=4x+2

Answer 1

first off, we need to find the slope of a perpendicular line from the line of y=1/4x+2

if m1 = 1/4
find what m2 would be in:
m1*m2=-1

Answer 2

-1

Answer 3

mm... how a bout like this:

m*(1/4) = -1
solve for m

Answer 4

is it -4 ?

Answer 5

yep

so the slope, m, for our perpendicular line to the equation y=1/4x+2, is -4

Answer 6

next we take the point given (0, 2) and m=-4

substitue those into
y = mx + b

then solve for b

Answer 7

2=-4(0)+b
2=b
is that right ?

Answer 8

yep

Answer 9

so, the next thing then is to substittue in m and b into

y=mx+b
and compare it with the choices given in the problem

Answer 10

ok got it
thanks :*

Answer 11

^_^