Question

What are the coordinates of the x-intercept of the line 3x-y=6?

Answer 1

The coordinates are (2, 0)

Explanation:

We have the following function:

`3x-y=6`

To find the intersection of the function with the x-axis you must do y = 0 and solve for the variable x

Then we have that:

`3x-(0)=6`

`3x=6`

Divide by 3 on both sides of equality

`(3)/(3)x=(6)/(3)`

`x=2`

Finally The coordinates are (2, 0)

Answer 2

Coordinates of x-intercept is (2,0)

Explanation:

The x-intercept is the point on graph where y is zero.

So putting y=0, we can find the value of x

given equation is:

3x-y=6

Putting y=0

3x -0 = 6

3x =6

Dividing both sides by 3

x = 2

We have x =0 and y =0 so, coordinates of x-intercept will be (2,0)

So, coordinates of x-intercept is (2,0)