anonymous
  • anonymous
how to get equation o. line in slope-intercept form through (-1,-1) and parallel to y= -x -5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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
AkashdeepDeb
  • AkashdeepDeb
Is this doubt cleared @angelsmg22 ?
anonymous
  • anonymous
No, a bit more of an explanation would help

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AkashdeepDeb
  • AkashdeepDeb
Okay look. Lets go step by step. :D
goformit100
  • goformit100
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AkashdeepDeb
  • AkashdeepDeb
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
anonymous
  • anonymous
Ok, yes
AkashdeepDeb
  • AkashdeepDeb
STEP 2: So this new parallel line has the same slope and passes through the point (-1,-1) Okay?
anonymous
  • anonymous
Yes
AkashdeepDeb
  • AkashdeepDeb
STEP 3: Now do you know how to find the slope of a line? 1) RISE/RUN 2) From a line's equation?
anonymous
  • anonymous
Ok, yes
AkashdeepDeb
  • AkashdeepDeb
Then find the slope of the line whose equation is already given and tell me! :D
anonymous
  • anonymous
-1
AkashdeepDeb
  • AkashdeepDeb
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
anonymous
  • anonymous
yes
AkashdeepDeb
  • AkashdeepDeb
STEP 4/5 [I lost track] Now do you know the slope-intercept form of a line? :D
anonymous
  • anonymous
no..
AkashdeepDeb
  • AkashdeepDeb
Okay it is. y-y1 = m(x-x1) When m= -1 (x1,y1) = (-1,-1) Understood? :D
anonymous
  • anonymous
yes, thank you !
AkashdeepDeb
  • AkashdeepDeb
This is what @ramyav07 basically said in a very short and concise manner. :)

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