Question

Find the y-intercept and x-intercept of the line 6x-2y=12

Answer 1

2,-6

Explanation:

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Answer 2

The expression we have is:

`6x-2y=12`

This is the equation of the line.

To find the y-intercept, we need to find the value for y, when x is equal to 0. So we plug x=0 into our equation:

`6(0)-2y=12`

And we solve for y:

`-2y=12`

Divide both sides by -2:

`\begin{gathered} (-2y)/(-2)=(12)/(-2) \\ y=-6 \end{gathered}`

The y-intercept is at y=-6

In the coordinate form, the y-intercept is (0,-6)

Now, to find the x-intercept, we need to find the value of x, when y=0.

So we plug y=0 into the equation:

`6x-2(0)=12`

And we solve for x:

`6x=12`

Divide both sides by 6:

`\begin{gathered} (6x)/(6)=(12)/(6) \\ x=2 \end{gathered}`

The x-intercept is at x=2

In coordinate form, the x-intercept is: (2,0)