Question

What is the equation of the line, in general form, that passes through the point (-1, -1) and is parallel to the line whose equation is x + y = 3?


A. x-y+2=0

B. x+y+2=0

C. x+y-2=0

Answer 1

what is the slope of the line whose equation is \(x+y=3\)?

Answer 2

yes

Answer 3

sorta

Answer 4

that was not a yes or no question

Answer 5

oh

Answer 6

i don't know

Answer 7

if we subtract x from both sides we have \(y=-x+3\)

Answer 8

what is the slope of this line?

Answer 9

i don't know. Kinda rushing right now

Answer 10

the equation of a line is \(y=mx+b\) where m is the slope of the line, and b is the y intercept.

so you have \(y=-x+3\implies y=(-1)x+3\) so what is the slope?

Answer 11

-4?

Answer 12

what is the number next to x? in \(y=(-1)x+3\)

Answer 13

-1

Answer 14

ok , so we want a line that is parallel to that, so we want a line that has the same slope, so we want a line that has a slope of -1

now our line will look like this

\(\large y=mx+b\)
but \(m = -1\)
so \(\large y=(-1)x+b\) i.e. \(\large y = -x+b\)

you with me so far? we are almost done...

Answer 15

kinda... I've been doing algebra since 11pm last night so I would appreciate if I could just have the answer

Answer 16

we are not here to give you answers, sorry. They get mad at us for that.

we have \(y=-x+b\) we need only to find out what b is, we do this by using the poine they gave us \((-1,-1)\).

plug those values in for x and y,

\(y=-x+b\iff-1=-1(-1)+b\)
so
\(-1=1+b\)
what is b?

Answer 17

poine should say point....

Answer 18

2

Answer 19

\(-1=1+b\)
subtract 1 from both sides, what is b?

If you cant answer this, you might need to review some earlier stuff.