Question

An equation of the line tangent to the circle..

Answer 1

i got 3x + 4y = 24, but that's not one of the choices. did i do something wrong?

Answer 2

@jim_thompson5910 can you help me?

Answer 3

the tangent line is perpendicular to the line pass through (0,0) and (3,4) as shown, namely OT,

Answer 4

the line OT has the slope 4/3, hence tangent t has the slope -3/4

Answer 5

Now, tangent t: slope -3/4, passes through (3,4), can you write down the equation of it ?

Answer 6

y - 3 = -3/4(x - 4)

but i got 3x + 4y = 24

Answer 7

as the equation in standard

Answer 8

You didn't show me the steps, right? how can I know where your mistake is?

Answer 9

oh right lol sorry.

y - 3 = -3/4(x - 4)
y - 3 = -3/4x + 3
y = -3/4x + 6
3x + 4y = 24

Answer 10

oh i missed a step. before the last one 3/4x + y = 6

Answer 11

hey, the point is (3,4) not (4,3)

Answer 12

ooh derp!

Answer 13

hence if y-, it is y -4, not y-3

Answer 14

thank you! the answer is e :)

Answer 15

yup