anonymous
  • anonymous
Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work in your final answer. I understand the answer is x + y = 0 I want to understand how that is determined. Using point slope form and all that.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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campbell_st
  • campbell_st
well it needs an x intercept of 0 and y intercept of 0 and slope of -1 so if you take the given line x + y = 6 then y = -x + 6 so the slope if m = -1 the point is the origin (0,0) then y - 0 = -1(x - 0) just simplify
anonymous
  • anonymous
So you determine the slope by the points?
campbell_st
  • campbell_st
the slope comes from the original line its in standard form x + y = 6 re=writing in slope intercept form y = -x + 6

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campbell_st
  • campbell_st
so the slope is m = -1
anonymous
  • anonymous
Okay so the -x is the slope? What about the 6? Does it not do anything?
campbell_st
  • campbell_st
no the slope is -1 the general slope intercept form is y = mx + b m is the slope so in the given line m = -1 b is the y-intercept
anonymous
  • anonymous
Oh I see what I was doing. Thank you. I understand.

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