Question

Find the equation perpendicular to 2y-4x=8 and passes the point (8,2) .
Can someone explain how to do it please?
-Geometry

Answer 1

Change the given equation to slope intercept form, y=mx+b That will help you determine the slope of the given line

Answer 2

What did you get

Answer 3

2y=4x+b ?

Answer 4

close 2y = 4x + 8

No divide everything by 2 so you get y= mx+b

Answer 5

Now

Answer 6

did u get y=2x+4

Answer 7

yes

Answer 8

You'll see that the slope of the given line is 2. To have a perpendicular line, the slope is the opposite reciprocal.....-1/2

Answer 9

Using the slope intercept formula and the point given (8,2) plug in and find b.

Answer 10

2=-1/2(8)+b

Answer 11

Are you still there

Answer 12

2=-4+b
6=b

Now you can give the equation of a line perpendicular to the given line at the point (8,2).
y=-1/2x+6

Answer 13

oh i see