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Do you recall the formula for the slope of a line given 2 points on the line?

yes

So use it to find the slope of the side AC.

Once you have that you can find the perpendicular slope by taking the negative reciprocal

im guessing -3

is that right

-3 is the slope of AC

ok

So what is the slope perpendicular to that?

so what would be the equatin

1/-3

right

No, negative reciprocal is perpendicular.

so 1/3

y=1/3x+2

is that right

is thais right

I don't think so. It should be \(y+2 = \frac{1}{3}(x-4)\)

i think we put it in slope intecept form

sure, but I don't think if you do you'll get the answer you had before

ok

vut can u help me get me put that in slope inetcept form

Well start by distributing the 1/3, then subtract 2 from both sides

y+2=1/3(x-4)
can u help me put tis in slpo intecept orm

can u help me

did you distribute the 1/3?

how do u do -4/3-2

convert -2 into an improper fraction (with a 3 in the denominator)

i got y+2=1/3x-4/3

is that right then i subract 2 from both sides

yes

then i get y=1/3x-3.3

is this write

-3.33333 = -10/3

thanks you so much

can u help with this

umm.. it's pretty nearly the same problem, just with different numbers

ok

but can u help me

i tried please can u help me

what did you try?

i tried doing it but idid not get it

doing the pomble

can u help me

what did you _do_ when you tried?

idid (2,4) and (- 1and 6) and added the x and y

please can u help, I will be greatful to you

what were you trying to find when you did that?

idk i thought that was how u do that

do what?

the question

Are you trying to find something?

yes the equation

the equation of what?

I know what the problem says, I'm asking you what you think. You do think right? ;)

i am finding it difficult please can u help me

What are you trying to find here?

the equation i guess

The equation of what?

the slope

the slope

"Find the equation of the line tangent to the circle at the point P"

What does that sentence mean?

i think it means that the line is touching line p

is that right

is this righ t

The line is touching the point P that's on the circle, but what else do you know about it?

idk

well, specifically how does it relate to the radius of the circle through the point P?

is the slope -3/2

is it right

so it will be 2/3

is that right

that is the slope. now use the point p to find the equation like we did before

so we do (-1,-6)

so it would be y+6=2/3(x+1)

is that right

I thought P was (-1,6), so it would be y-6 = 2/3(x+1)

oh yeah sorry your right

if i put it in slope intecept orm it would be y=2/3x+6.67

is this right

yeah

but is the 6.67 right or can i put it in a fraction

you can make it a fraction

how can u show me

How many 3rds are there in 6 wholes?

so id it 20/3

wait i think we messed up it would be y+6=2/3(X-1)

i think that is right

i think that is right

so would it be y=2/3x+3/20

no

y=2/3x+20/3

yes

thanks