Question

What is the equation of the line written in general form?

-x + y - 2 = 0
x+y - 2 = 0
2x+y - 2 = 0​

Answer 1

x + y - 2 = 0

Explanation:

First, set the equation equal to 2 by moving 2 to the other side of the equation to get x + y = 2, then move -x over to the other side to end up with y = -x + 2. The reason being is because the rate of change [slope] is -1. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then go two blocks over east. Now, if when you look carefully, you will see that -2\2 = -1. This is the simplification of the slope. Do you understand?