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Mathematics

Find the value of p, given that the line y2=x−p\dfrac{y}{2} = x - p passes through the point (-4, 4).

Straight Line Eq

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Answer

Since, y2=x−p\dfrac{y}{2} = x - p passes through (-4, 4) hence, the points must satisfy the equation.

⇒42=−4−p⇒2=−4−p⇒p=−4−2⇒p=−6.\Rightarrow \dfrac{4}{2} = -4 - p \\[1em] \Rightarrow 2 = -4 - p \\[1em] \Rightarrow p = -4 - 2 \\[1em] \Rightarrow p = -6.

Hence, the value of p = -6.

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