This is the set of all points on one side of a line in the coordinate plane. It can be described as the solution set for a linear inequality in two variables.

Half-plane

Step-by-step explanation:

A half-plane is a planar region consisting of all points on one side of an infinite straight line, and no points on the other side. If the points on the line are included, then it is called an closed half-plane.

Please have a look at the image.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4