Find the general equation of the line: y=(2)/(3)x-7

1. 2x-3y=21
2. 2x+3y=21
3. 2x-3y=-21
4. 2x+3y=-21

You have a line in the "slope-intercept" format.

y = (2/3)x - 7

Use the normal rules for manipulating equations.
For example, multiply both sides by 3

3y = (6/3)x - 21
3y = 2x - 21
Subtract 2x from both sides

3y - 2x = 2x - 2x - 21
3y - 2x = -21

multiply both sides by -1, then rearrange the order of the terms

-3y + 2x = 21
2x - ...

Find the general equation of the line: y=(2)/(3)x-7?

The general equation is ax + by = c
y = (2)/(3)x – 7
multiply both sides by 3
3y = 2x – 21

Add -2x to both sides
-2x + 3y = -21

Multiply both sides by -1
2x – 3y = 21

1. 2x-3y=21
2. 2x+3y=21
3. 2x-3y=-21
4. 2x+3y=-21