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Equation of the Line

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AP Calculus AB/BC

Definition

An equation of a line represents every point on that line. It typically takes the form y = mx + b, where m is the slope and b is the y-intercept.

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Practice Questions (1)

You roll two marbles on a flat surface at time t = 0. The position of the first marble can be described by the parametric functions: y(t) = 3(√(t/2)) + 1 and x(t) =2t. The position of the second marble can be described by the parametric functions: y(t) = 2^t and x(t) = t^2. The marbles will meet at two distinct times. Find the equation of the line that passes through both points at which the marbles meet.

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