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Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
 .

A line on a coordinate grid passes through (-3,6) and (5,-6). What is the equation of the line?

~~~~~~~~~~~~~~~~~





The slope is m =  =  =  = .


The equation of the straight line is 

y - 6 = {{(-3/2)*(x-(-3))}}},   or, which is the same,   y - 6 = ,  or, which is the same,

2y - 12 = -3x - 9,   or, which is the same,   3x + 2y = 3.




Solved.





 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 A line on a coordinate grid passes through (-3,6) and (5,-6). What is the equation of the line?

---------


| x    y    1|
|-3    6    1| = 0
| 5   -6    1|





x*(6+6) - y*(-3-5) + 1*(18-30) = 0

12x + 8y = 12

3x + 2y = 3

==================

PS  It's an equation, not "the equation." 

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