Plot the graph of the linear equation. 3x-2y=6

First point : (0, -3)

Second point : (2, 0)

Y-intercept : -3

Step-by-step explanation:

To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.

1.) 3x - 2y = 6

2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)

3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)

Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.

1.) 3x - 2(-3) = 6

2.) 3x + 6 = 6 (multiply (-2) and (-3))

3.)3x = 0 (subtract 6 on both sides using inverse operations)

4.) x = 0

Now you have your first point which is (0, -3)!

To get your last point, just substitute your y coordinate from the original equation to get x.

1.) 3x - 2(0) = 6

2.) 3x - 0 = 6

3.) 3x = 6

4.) x = 2

Then, substitute the x coordinate from above in the original equation to get the y coordinate.

1.) 3(2) - 2y = 6

2.) 6 - 2y = 6

3.) -2y = 0

4.) y = 0

Second coordinate : (2, 0)

I hope this explanation was helpful!

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step-by-step explanation: