Question

how to get equation o. line in slope-intercept form through (-1,-1) and parallel to y= -x -5

Answer 1

when 2 lines are parallel the slopes are equal, and the slope of y=-x-5 is m= -1 from y=mx+c eqn.
and line through point (-1,-1) is (y-y1)=m(x-x1)
=> y=-x is resultant eqn of line

Answer 2

Is this doubt cleared @angelsmg22 ?

Answer 3

No, a bit more of an explanation would help

Answer 4

Okay look. Lets go step by step. :D

Answer 5

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Answer 6

STEP 1: Parallel lines are almost the same lines but just beside each other. So we say that they have the same slope.
Understood this? :D

Answer 7

Ok, yes

Answer 8

STEP 2: So this new parallel line has the same slope and passes through the point
(-1,-1) Okay?

Answer 9

Yes

Answer 10

STEP 3: Now do you know how to find the slope of a line?

1) RISE/RUN
2) From a line's equation?

Answer 11

Ok, yes

Answer 12

Then find the slope of the line whose equation is already given and tell me! :D

Answer 13

-1

Answer 14

Excellent.
So we can infer from this that the slope of the parallel line would be -1 and would pass through (-1,-1).
Right? :D

Answer 15

yes

Answer 16

STEP 4/5 [I lost track]
Now do you know the slope-intercept form of a line? :D

Answer 17

no..

Answer 18

Okay it is.
y-y1 = m(x-x1)
When m= -1
(x1,y1) = (-1,-1)

Understood? :D

Answer 19

yes, thank you !

Answer 20

This is what @ramyav07
basically said in a very short and concise manner.

:)