What is the x-intercept and y-intercept of the linear equation 3x-6y=2

The x-intercept is 2/3 and the y-intercept is - 1/3

Step-by-step explanation:

In order to find this, we need to note that the x-intercept is the value of x, when y = 0. So we plug in y = 0 and see what the x value is.

3x - 6y = 2

3x - 6 (0) = 2

3x = 2

x = 2/3

The y-intercept is the opposite. It is the y value when x = 0. So we do the same with the other term.

3x - 6y = 2

3 (0) - 6y = 2

-6y = 2

y = - 2/6

y = - 1/3