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 = x - 3
So there we have it.
6x + 5y = -15 in slope intercept form is y = x - 3. Hope that helped! =)
What is the relationship between equations and graphs?
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).