Inequality 1
Point 1 (0,5) Point 2 (-7 , -9)
slope = (-9 - 5) / (-7 - 0)
= -14/-7
= 2
y - 5 = 2(x - 0)
y - 5 = 2x
y = 2x + 5
y ≤ 2x + 5
Inequality 2
Point 1 (2, 0) Point 2 (-7, -9)
slope = (-9 - 0) / (-7 - 2)
= -9 / -9
= 1 (y - y1) = m(x - x1)
y - 0 = 1 (x - 2) m = 1
y = x - 2 x1 = 2 y1 = 0
y ≥ x - 2
System of inequalities y ≤ 2x + 5 and y ≥ x - 2
The point (-10, -14) is in the shaded area, so it is a solution of the system of inequalities.