Answer:
y < 4x - 2
Explanation:
Determine the equation of the line:
- Choose two points on the line: (1, 2) and (0, -2)
- Calculate the slope
Slope = change in y ÷ change in x = (-2 -2) ÷ (0 - 1) = -4 ÷ -1 = 4
Therefore, y = 4x + b (where b is the y-intercept) - From inspection, y-intercept = -2
- So equation of the line: y = 4x - 2
A solid line means the signs ≤ or ≥ should be used (inclusive boundary)
A dotted line means the signs < or > should be used (non inclusive boundary).
> is points above the boundary line
< is points below the boundary line
Therefore, the grey shaded area is y < 4x - 2