3x + 7y + 6 = 0 what is the y intercept

It's - 6/7. You have to first change this into slope intercept form so you want the y by it self

It'll turn into

-7y=3x+6

You then have to divide everything by - 7

y=-3/7x - 6/7

Since the y intercept is b in mx+b - 6/7 is your answer

The y-intercept is located at (0, - 6/7)

Step-by-step explanation:

First, we should convert this equation from Standard Form (ax+by+c=0) into Slope-Intercept Form (y = mx+b), with b being the y-value of the y-intercept.

Work:

3x+7y+6=0

First, isolate the variables by subtracting 6 from both sides to keep the equation equal

3x+7y = - 6

Next, isolate the y-variable by subtracting 3x from both sides to keep the equation equal

7y = - 3x - 6

Then, divide by + 7 on both sides to keep the equation equal and to simplify the left side even more, to completely isolate the variable

y = - 3x/7 - 6/7

The y-intercept is located at (0, - 6/7)