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anonymous

  • one year ago

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.

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  1. campbell_st
    • one year ago
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    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

  2. anonymous
    • one year ago
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    So you determine the slope by the points?

  3. campbell_st
    • one year ago
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    the slope comes from the original line its in standard form x + y = 6 re=writing in slope intercept form y = -x + 6

  4. campbell_st
    • one year ago
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    so the slope is m = -1

  5. anonymous
    • one year ago
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    Okay so the -x is the slope? What about the 6? Does it not do anything?

  6. campbell_st
    • one year ago
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    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

  7. anonymous
    • one year ago
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    Oh I see what I was doing. Thank you. I understand.

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