What system of inequalities is represented by the graph?
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Answer:
y ≥ -3x -8 and y ≤ x+8
Step-by-step explanation:
Line 1: pass (-4,4) (-2,-2)
slope (m) = rise/run = -6/2 = -3
y intercept (b) = y - mx = 4 - (-3) x (-4) = 4 - 12 = -8
equation: y = -3x -8
system: y ≥ -3x -8
line 2: pass ((-4,4) (-7,1)
slope (m) = (4-1) / (-4 - -7) = 3/3 = 1
y intercept (b): y - mx = 4 - 1 x (-4) = 8
equation: y = x+8
system: y ≤ x+8