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

Algebra ->  Graphs -> SOLUTION: A line on a coordinate grid passes through (-3,6) and (5,-6). What is the equation of the line?      Log On


   



Question 1089521: A line on a coordinate grid passes through (-3,6) and (5,-6). What is the equation of the line?
Found 4 solutions by josgarithmetic, MathTherapy, ikleyn, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (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?
Just to warn the person who wanted a correct answer! The correct answer is NOT: y+=+%28-+3%2F2%29x+%2B+10%261%2F2%29, so IGNORE, IGNORE, IGNORE it. 
You have a better chance of getting the correct answer if you try to do it yourself!
JUST A WARNING! Most people already know this!

Answer by ikleyn(52781) About Me  (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 = delta_y%2Fdelta_x = %28%28-6%29-6%29%2F%285-%28-3%29%29 = %28-12%29%2F8 = -3%2F2.


The equation of the straight line is 

y - 6 = {{(-3/2)*(x-(-3))}}},   or, which is the same,   y - 6 = %28-3%2F2%29%2A%28x%2B3%29,  or, which is the same,

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

Solved.


Answer by Alan3354(69443) About Me  (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."