Question

Which points are on the graph of the equation: 2x + 3y = 12A. (5, 3)B. (0,6)C. (6,0)D. (6,4)

Answer 1

Given:

The given equation is

`2x+3y=12`

Required:

We have to find which of the given point are on the graph of the given equation.

Step-by-step 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

`2x+3y`

then we say that point is on the graph of the given equation.

So, proceed as follows:

For the point (5,3):

`2(5)+3(3)=10+9=19\\e12`

Hence this point is not on the graph of the given equation.

For the point (0,6):

`2(0)+3(6)=0+18\\e12`

Hence this point is not on the graph of the given equation.

For the point (6,0):

`2(6)+3(0)=12+0=12`

Hence this point is on the graph of the given equation.

For the point (6,4):

`2(6)+3(4)=12+12=24\\e12`

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.