Given:
The given equation is
[tex]2x+3y=12[/tex]Required:
We have to find which of the given point are on the graph of the given equation.
Explanation:
We know that a point lies on the graph of an equation if it satisfies that equation. So we have to put the given points in the given equation in the place of x and y and check if it is equal to 12 or not. If we get 12 after putting a point in the expression
[tex]2x+3y[/tex]then we say that point is on the graph of the given equation.
So, proceed as follows:
For the point (5,3):
[tex]2(5)+3(3)=10+9=19\ne12[/tex]Hence this point is not on the graph of the given equation.
For the point (0,6):
[tex]2(0)+3(6)=0+18\ne12[/tex]Hence this point is not on the graph of the given equation.
For the point (6,0):
[tex]2(6)+3(0)=12+0=12[/tex]Hence this point is on the graph of the given equation.
For the point (6,4):
[tex]2(6)+3(4)=12+12=24\ne12[/tex]Hence this point does not lie on the graph of the given equation.
Final answer:
Hence the final answer is the point (6,0) is on the graph of the given equation.
