SOLUTION: determine if (-2/3,5) is solution to -3x+2y=-4

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Question 408100: determine if (-2/3,5) is solution to -3x+2y=-4
Found 2 solutions by Tatiana_Stebko, MathLover1:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Put x=-2%2F3, y=5 bin equation -3x%2B2y=-4
-3%2A%28-2%2F3%29%2B2%2A5=-4
2%2B10=-4
12=-4 NOT correct, so (-2/3,5) is not solution to -3x+2y=-4

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
if a point (-2/3,5) is solution to -3x%2B2y=-4 must lie on the line
so, generally speaking, the condition for a point (a, b) to lie on the line y+=+mx+%2B+c is:
b+=+ma+%2B+c
To determine whether a point lie on the line you have to just check whether the coordinates of the point given satisfy the equation or not. For this what you have to do is : Put the value of the x any y coordinates of the point and check whether it satisfy the equation -3x%2B2y=-4 or not.

-3x%2B2y=-4........plug in x=-2%2F3 and y=5...if you get left side of equation equal to -4, then (-2/3,5) is solution to -3x%2B2y=-4

-3%28-2%2F3%29%2B2%2A5=-4
-cross%283%29%28-2%2Fcross%283%29%29%2B10=-4
-%28-2%29%2B10=-4
2%2B10=-4
12=-4...........it's not a solution
check:
-3x%2B2y=-4..... write it slope-intercept form
y=-%283%2F2%29x-2...let see if point lie on a line


+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C++-%283%2F2%29x-2%29+

now you can plot a point (-2/3,5) and see it does not lie on that line