Question

Draw the graph of the equation 2x – 3y = 12. At what points, the graph of the equation cuts the x-axis and the y-axis?

Answer 1

Answer:

x-axis coordinates : (6,0)

y-axis coordinates : (0, -4)

Step-by-step explanation:

The given equation is : 2·x - 3·y = 12

Now, plot the graph of the given above equation.

To find the coordinates where the given equation cuts the x-axis and y-axis :

For x-axis coordinates :

The equation where it cuts the x-axis the y coordinate will be 0 at that point ⇒ 2·x - 0 = 12

⇒ x = 6

So, the coordinates where the given equation cuts the x-axis are : (6,0)

For y-axis coordinates :

The equation where it cuts the y-axis the x coordinate will be 0 at that point ⇒ 0 - 3·y = 12

⇒ y = -4

So, the coordinates where the given equation cuts the y-axis are : (0, -4)

Answer 2

Answer:

Step-by-step explanation:

x-axis coordinates : (6,0)

y-axis coordinates : (0, -4)

Step-by-step explanation:

The given equation is : 2·x - 3·y = 12

Now, plot the graph of the given above equation.

To find the coordinates where the given equation cuts the x-axis and y-axis :

For x-axis coordinates :

The equation where it cuts the x-axis the y coordinate will be 0 at that point ⇒ 2·x - 0 = 12

⇒ x = 6

So, the coordinates where the given equation cuts the x-axis are : (6,0)

For y-axis coordinates :

The equation where it cuts the y-axis the x coordinate will be 0 at that point ⇒ 0 - 3·y = 12

⇒ y = -4

So, the coordinates where the given equation cuts the y-axis are : (0, -4)