When given a question like 6x3y12 then asked to put it in sl

When given a question like: 6x-3y=12, then asked to put it in slope intercept form and solve I\'m stumped. Can anyone help me?

Solution

For slope intercept form, you need to get it into the form of y=mx+b. For example, if you have 8x-2y=20 you would need to isolate the y. I like to work with positive numbers so I would add 2y to both sides. This would give you 8x=20+2y. Then I would move the 20 to the other side by subtracting it. This leaves you with 8x-20=2y. Finally, you divide both sides by 2 to get the y all by itself. This leaves you with 4x-10=y which is the slope intercept of my example.

If you don\'t want to move so many numbers, you can start by subtracting 8x from both sides to get the y on its own side right away. This would give you the equation -2y=-8x+20. Then you would divide by -2 to isolate the y. This gives you the final equation of y=4x-10. Either way, you get the same answer. Just don\'t forget, if you divide by a negative number, you need to switch the signs.