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- 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.

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- anonymous

- katieb

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- 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

So you determine the slope by the points?

- 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

so the slope is m = -1

- anonymous

Okay so the -x is the slope? What about the 6? Does it not do anything?

- 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

Oh I see what I was doing. Thank you. I understand.

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