Question

1. Find the equation of the tangent lines to the circle x^2+ y^2 + 6x - 2y+5=0, perpendicular to the line 2x +y = 4. Draw the Figure.

somebody can answer this deserve a medal and fan :D , i want you to show the figure and the answer

Answer 1

if your line is supposed to be perpendicular to 2x+y=4, can you tell me the slope of your new line ?

Answer 2

(by new line I am referring to the tangent line)

Answer 3

and I will tell you you will have 2 points with such slope.

Answer 4

and therefore 2 tangent lines.

Answer 5

can you show me the figure first :D

Answer 6

don't understand you

Answer 7

the slope of the new line is 1/2

Answer 8

yes, correct.

Answer 9

https://www.desmos.com/calculator/l6aipy5fys

Answer 10

I am just curious, this is calculus I, right >?

Answer 11

its analytic geometry, its my major subject and i think im going to gave up with it... -.-

Answer 12

well you can visualize it, without proofs

Answer 13

where do you think are the 2 points on a circle, where the tangent line's slope is 1/2 ?

Answer 14

your two points seem to be
(-4,3)
and
(-2,1)

Answer 15

and your slope for both lines is 1/2

Answer 16

so line 1:
point (-4,3) , slope 1/2

line 2:
point (-2,1) , slope 1/2

Answer 17

how did you get that points?

Answer 18

can you help me dude

Answer 19

I visualized those points