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# how do you write an equation for (5,4) and (-4,3)

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how do you write an equation for (5,4) and (-4,3)

Guest Jan 16, 2015

#9
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Hfff!    This is you stiring the pot !!!

Melody  Jan 17, 2015
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#1
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what equation?  You have just got two points there.

Melody  Jan 17, 2015
#2
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I think this person wants to write an equation of a line using these points...

OK....let's get the slope, first   ....where the slope, m, is defined as   change in y / change in x

And from the first point to the second, y changes by -1

And from the first point to the second, x changes by - 9

So...the slope is  -1 / -9  = 1/9    ....and we can use one of the points to write the equation...I'll use the first one ...  so we have

y - 4  = (1/9)(x -5)     simplify the right side and add 4 to both sides

y = (1/9)x - 5/9 + 4

y = (1/9)x + 31/9

Here's the graph.....https://www.desmos.com/calculator/azju8icg1f

CPhill  Jan 17, 2015
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Probably but then again maybe they want the set of all circles that pass through those points or maybe they want something else.

Melody  Jan 17, 2015
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An infinite number of circles pass through any two points - we'd need at least three points to write an equation for any particular circle -  thus, I'll just guess that this was what was intended........but....it's just a guess....

CPhill  Jan 17, 2015
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Yes I know Chris, I am in a contrary mood.

LET ME HAVE MY MOMENT!       ROF  LOL

Melody  Jan 17, 2015
#6
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Don't get sassy.......

CPhill  Jan 17, 2015
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Melody  Jan 17, 2015
#8
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That looks more like your "sassy" shirt....!!!   LOL!!!

CPhill  Jan 17, 2015
#9
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