Question

What's the Y Intercept for 2x+y=4 and -3x+9y=-6

Answer 1

y-intercept of the equation
`2x+y=4` is
`(0, 4)`

y-intercept of the equation
`-3x+9y=-6` is
`(0,-(2)/(3))`

Explanation:

Given:

The given equation are.

`2x+y=4` ------------(1)

`-3x+9y=-6` --------------(2)

We need to find the Y-intercept of given equations.

Solution:

Now we use the standard form of the line equation.

`y = mx+c`

Where:

m = slope of the line

c = y-intercept of the line

First equation:

First we convert the equation 1 in standard form.

`2x+y=4`

`y=-2x+4`

So, y-intercept of the equation is (0, 4)

Second equation:

Convert second equation in standard form.

`-3x+9y=-6`

`9y=3x-6`

Divided by 9 both side of the equation.

`y=(3)/(9)x-(6)/(9)`

`y = (1)/(3)x-(2)/(3)`

So, y-intercept of the equation is
`(0,-(2)/(3))`

Therefore, y-intercept of the equation
`2x+y=4` is
`(0, 4)`

y-intercept of the equation
`-3x+9y=-6` is
`(0,-(2)/(3))`