To convert an equation into y = mx + b format, obviously we will need to isolate the y variable on the left side of the equation. We have the equation 6x + 5y = -15 to work with. The first step we will take in converting this equation is to shift the x value to the opposite side. We can do this by subtracting 6x from both sides.
6x + 5y = -15
6x - 6x + 5y = -15 - 6x
Now, we will reorder our terms, since the mx value must come before the b value.
We will also combine any like terms so that our equation is simplified.
6x - 6x + 5y = -15 - 6x
5y = -6x - 15
Now, all we must do is divide both sides of the equation by 5 to isolate the y variable.
5y / 5 = (-6x - 15) / 5
y = [tex] \frac{-6}{5} [/tex]x - 3
So there we have it.
6x + 5y = -15 in slope intercept form is y = [tex] \frac{-6}{5} [/tex]x - 3.
Hope that helped! =)
