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

Answer:

The y-intercept of the function is (0,-2). The graph passing though the points  (0,-2) and  $(-\frac{2}{3},0)$ .

Step-by-step 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.

$3x+(0)=-2$

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

Therefore the x-intercept of the function is $(-\frac{2}{3},0)$ .

Therefore the y-intercept of the function is (0,-2). The graph passing though the points  (0,-2) and  $(-\frac{2}{3},0)$ .