What do the c value in a quadratic equation in standard form and the b value in a linear equation in slope intercept form have in common
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In a quadratic expression in x, c is the value of the expression when x=0; in a linear equation in x, b, the y intercept, is the value when x=0. So the quadratic and linear expressions both reduce to the constant term (b or c) when  x=0, and both are points along the y axis when the equations are plotted.

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