Answer:
The answer to your question is below
Step-by-step explanation:
a) Find to points of the line and find the equation of the line.
A ( 0, -4) B (2, 0)
slope = m =
m = 2
Line equation
(y - y1) = m (x - x1)
(y - 0) = 2(x - 2)
y = 2x - 4
Write the line as an inequality
y ≥ 2x - 4
b) Yes, (2,0) is a solution of the inequality
y ≥ 2x - 4
0 ≥ 2(2) -4
0 ≥ 4 - 4
0 ≥ 0 This is true
c) No, (4, -2) is not a solution.
y ≥ 2x - 4
-2 ≥ 2(4) - 4
-2 ≥ 8 - 4
-2 ≥ 4 This is false