This week we leant how to write in general form. The formula for general form is Ax+By+C=0. You can find general form by rearranging a formula written in slope y-intercept form which is written as y=mx+b.
If you are given the equation y=3x+12, you can rearrange it so that it becomes general form. There are two rules for general form.
1. The A in the equation cannot be a negative number.
2. All of the numbers in the equation have to be integers.
First, you have to choose if you want to move the y to the other side or if the 3x+12 is going to move to make it so that one side of the equals sign is 0. Remember the two rules! If we moved the 3x+12, the three would become negative and since the three takes the A spot, that wouldn’t work. So, we should be the y instead.
Now, the equation is 0=3x-y+12 because we had to subtract y from both sides to move it to the other side.
So, the equation written in general form is: 3x-y+12=0