Final answer:
The parametric equations of a line segment can be found using the formula x = (1 - t) * xP + t * xQ and y = (1 - t) * yP + t * yQ, where (xP, yP) and (xQ, yQ) are the coordinates of the two points p and q that determine the line segment, and t is a parameter between 0 and 1.
Step-by-step explanation:
To find the parametric equations of the line segment determined by points p and q, we can use the formula:
x = (1 - t) * xP + t * xQ
y = (1 - t) * yP + t * yQ
where (xP, yP) and (xQ, yQ) are the coordinates of points p and q, respectively, and t is a parameter between 0 and 1.
For example, if p = (2, 3) and q = (5, -1), the parametric equations would be:
x = (1 - t) * 2 + t * 5
y = (1 - t) * 3 + t * -1