Algebra-1

The relationship between a system of inequalities and its graph on the coordinate plane is as follows:

The solution set of a system of inequalities can be represented as a region on the coordinate plane. Each inequality corresponds to a boundary line on the plane, which divides the plane into two parts. Depending on the inequality symbol (greater than or less than), the solution set lies on one side of the boundary line.

For this question, we need to find the function of 2 intersecting lines,
First these 2 functions must be y = kx + b cause they are linear functions. By observing their intersections with the x and y axes, we can determine:
①Through (0,2) and (2,0), we got
2 = 0*k + b
0 = 2*k + b
Thus, b = 2, put it into 0 = 2*k + b, k =  -1
Thus the function is y = -x + 2

② The second function is a line parallel with y axis and pass through (0,3), thus its equation should be y = 3.

The shad...