SOLUTION: x-y < 2 what would the cross of the y axis and the slope in which the line will follow?

Algebra ->  Systems-of-equations -> SOLUTION: x-y < 2 what would the cross of the y axis and the slope in which the line will follow?      Log On


   



Question 776655: x-y < 2 what would the cross of the y axis and the slope in which the line will follow?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply left and right sides by NEGATIVE 1.
-x%2By%3E-2
Notice that the inequality direction is switched now.

Add +x to the left and right sides.
y%3E-2%2Bx

Commutative Property of Addition:
highlight%28y%3Ex-2%29

The line y=x-2 is a boundary for the region and this line is NOT part of the region.

y is GREATER than -2 on the y axis, which is for x=0. The slope is 1 for the non-included boundary line, but the slope otherwise does not much affect the region of the inequality.