y=x+4
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It is a linear equation in one variable, p.
No. It's a quadratic equation, and it has two solutions.
It is linear. The highest power is 1 (x = x1, y = y1) so it is linear.
It is linear in y, quadratic in x. Generally, that would be considered a quadratic.
It is linear because you're just adding numbers. There are no exponents.