The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.
What is linear inequality?
Expressions with linear inequalities compare any two values using inequality symbols like "<", ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.
Calculation for linear inequality shown by graph:
The coordinates of the straight line are (0,4), (2,-4).
Substitute the value in equation shown in option C.
y < -4x + 4
For points (0,4), put x = 0 and find y.
y < -4×0 + 4
y = 4 , which is satisfied.
Now consider points (2, -4)
Put x = 2 in the same equation and find y.
y < -4×2 + 4
y = -4 ( which again satisfies the given value for y)
Therefore, the equation y < -4x + 4 satisfies the points given for straight line.
To know, how to find equation of line for any point?, here
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