Question

Identify the X intercept and the yIntercept of the line 4x-2y=-12

Answer 1

y-intercept= -6

x-intercept= 3

Explanation:

First, rearrange the equation to be in y=mx+b.

4x-2y=12

4x-12=2y

(1/2)(4x-12)=y

y=2x-6

From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.

To find the x intercept make y=0 and solve.

You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.

Answer 2

X-intercept = -3 and y-intercept = 6

Explanation:

We can start off by isolating the y term. To do that, we must add 2y to both sides to get

`4x=2y-12`

Now, we must add 12 to both sides and the y term will be all alone on the right side:

`4x+12=2y`

Now, to have only y on the right side, we must divide by 2 to get:

`y=2x+6`

In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.

To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:

`0=2x+6`

We can start off by subtracting 6 from both sides to get:

`2x=-6`

We can then divide both sides to get
`x=-3` when y is equal to 0. Thus, we have our x-intercept.