Question

Which of the following represents the graph and y-intercept of the function 3x +y= -2

Answer 1

To find the Y intercept, you need to change this equation into y=mx + b format. You can do this by subtracting 3x from both sides of the equation. This results in the equation of


`y = 3x - 2`

If you are familiar with this format, it should be clear now that the Y intercept is - 2

Answer 2

The y-intercept of the function is (0,-2). The graph passing though the points (0,-2) and
`(-(2)/(3),0)` .

Explanation:

The given function is

`3x+y=-2`

Rewrite the above equation in slope intercept form.

`y=-3x-2`

So, the slope of the function is -3. It means the value of y decrease by 3 as the value of x increased by 1.

Substitute x=0 in the above equation, to find the y-intercept.

`3(0)+y=-2`

`0+y=-2`

`y=-2`

Therefore the y-intercept of the function is (0,-2).

Put y=0 in the given function to find the x-intercept.

`3x+(0)=-2`

`x=(-2)/(3)`

Therefore the x-intercept of the function is
`(-(2)/(3),0)` .

Therefore the y-intercept of the function is (0,-2). The graph passing though the points (0,-2) and
`(-(2)/(3),0)` .