Question

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

Answer 1

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

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)

Answer 2

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