math problem???

Question

Write a system of linear inequalities represented by the graph.

Inequality 1: 

Inequality 2: 

Answer 1

Boundary line for first inequality passing through points (0,2) and (1, -1); SLOPE M = (-1 - 2)/(1 - 0) = - 3;

equation of this line is y = -3x + 2 and inequality y ≥ -3x + 2;

SEcond boundary line passing 2 points: (3, 0) and (0, - 2). slope m₂ = -2/(-3) = 2/3; equation of this line

y = 2/3x - 2 and inequality y ≥ 2/3x - 2.

We have system of inequalities:

y ≥ -3x + 2 and

y ≥ 2/3x - 2