Question

Change the equation –x + 3y = 9 into slope-intercept form

Answer 1

The ultimate goal of the problem is to have y on the left-hand side, by itself, and some function of x on the right. What might be the first step in achieving this?

Answer 2

add 3 to both sides?

Answer 3

I mean subtract

Answer 4

Well, the 9 on the right-hand side isn't bothersome, so we can leave it alone. However, if we add x to both sides, the one on the left will disappear, and there will be +x on the right.

Answer 5

Slope intercept form is of the form y=mx+c; where m is the slope and c is the y-axis intercept.
Separate the y term to one side of the equation and then divide both sides by the coefficient(if any) of the y term.
Example:
2x+9y-13=0 in the slope intercept form will be
9y=-2x+13
and finally
y=(-2/9)x+(13/9) which is of the form y=(m)x+(c).
Now solve your equation accordingly.