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Find the standard form of the equation of the line passing through (4, – 2) and (– 5, 2). 

 Jul 11, 2020
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We write the slope intercept form equation first based on the two given points. The slope is -4/9. We now have y=-4/9x+b. We then plug in one of the points to determine b. 

 

y=-4/9x+b

-2=-4/9(4)+b

-2=16/9+b

b=-2/9

 

So the equation is y=-4/9x-2/9. We then convert it to standard form.

 

y=-4/9x-2/9

4/9x+y=-2/9

4x+9y=-2

 Jul 11, 2020

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