book Maths Puzzle Numerical Ability

i need help! how do u find out the constant of variation for an equation and determine the slope of a line?

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I need to solve the equation 4x + y > 4 then determine the half plane which I would show on the graph. I am lost at how to do this. Please solve using the factoring method. Place equation in standard form before factoring. 4x^2 + 3x = 4x

Can someone please help. I am trying to check my daughter's homework.