Question

Write an equation of a line that is perpendicular to y = 2x + 3 and
passes through (3,4).

Answer 1

If the line is perpendicular, the slope of the original line times the slope of the new line has to be -1. So, the slope of the new line is -1/2.

Answer 2

Then use the point-slope form to get \[y-4=\frac{ 1 }{ 2 } (x-3)\]

Answer 3

i got positive 1/2

Answer 4

The slopes have to multiply to -1/2

Answer 5

One goes up and the other goes down :3

Answer 6

how

Answer 7

I mean -1 sorry not -1/2

Answer 8

ok -1?

Answer 9

So if the first slope is 2 and they have to multiply to -1 then the second is -1/2

Answer 10

the second slope

Answer 11

???????

Answer 12

Because \[-\frac{ 1 }{ 2 } * 2=-1\]

Answer 13

Yes the second slope is -1/2

Answer 14

So the slope of the perpendicular line is -1/2 because the slope of the first line is 2

Answer 15

whats the first slope?

Answer 16

The first slope is 2, because the first line is y=2x+3

Answer 17

what would the equation be for the -1/2 slope/

Answer 18

?????

Answer 19

Use the point-slope form to get y-4=-1/2*(x-3)

Answer 20

and get y=-1/2x+11/2

Answer 21

thanks i got the answer

Answer 22

wait i got y=-1/2x+4

Answer 23

I think you forgot to distribute the - sign when you multiplied -1/2 and -3