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The parametric equations of the line passing through p and q.

User Nmford
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Final answer:

The parametric equations of the line passing through points P and Q can be written as x = x1 + t(x2 - x1) and y = y1 + t(y2 - y1), where t is a parameter ranging from 0 to 1.

Step-by-step explanation:

The parametric equations of the line passing through points P and Q can be determined using the coordinate values of the two points. Let's assume the coordinates of point P are (x1, y1) and the coordinates of point Q are (x2, y2). The parametric equations of the line passing through P and Q can be written as:

x = x1 + t(x2 - x1)

y = y1 + t(y2 - y1)

where t is a parameter that ranges from 0 to 1, representing different points on the line.

User IPSDSILVA
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