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I need help with this i need to find the grey area

I need help with this i need to find the grey area-example-1

2 Answers

4 votes

Answer:

y < 4x - 2

Explanation:

I need help with this i need to find the grey area-example-1
User Stefan Wick  MSFT
by
8.5k points
7 votes

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

User Lyaffe
by
8.0k points

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