Question

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

Answer 1

Answer:

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

y-intercept of the equation $-3x+9y=-6$ is $(0,-\frac{2}{3})$

Step-by-step 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.

$y=\frac{3}{9}x-\frac{6}{9}$

$y = \frac{1}{3}x-\frac{2}{3}$

So, y-intercept of the equation is $(0,-\frac{2}{3})$

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

y-intercept of the equation $-3x+9y=-6$ is $(0,-\frac{2}{3})$