Question

Find a parametric description of the line segment from the point P to the point Q calculator.

Answer 1

To find a parametric description of the line segment from point P to point Q, you need to find the slope of the line segment using the given formula. Then, use the slope to find the x and y coordinates of any point on the line segment by varying a parameter value.

Step-by-step explanation:

A parametric description of a line segment is a set of equations that describe the x and y coordinates of points on the line segment in terms of one parameter. To find a parametric description of the line segment from point P to point Q, you can first find the slope of the line segment using the formula: slope = (Qy - Py) / (Qx - Px). Let's assume the coordinates of point P are (Px, Py) and the coordinates of point Q are (Qx, Qy).

Once you have the slope, you can choose any parameter value (usually denoted as t) and use it to find the x and y coordinates of any point on the line segment using the following formulas: x = Px + t * (Qx - Px) and y = Py + t * (Qy - Py). By varying the parameter t, you can obtain different pairs of x and y coordinates that lie on the line segment from point P to point Q.

Answer 2

The parametric description of the line segment from the point P to the point Q is given by x(t) = x1 + (x2 - x1) * t and y(t) = y1 + (y2 - y1) * t where t ranges from 0 to 1.

Step-by-step explanation:

A parametric description of a line segment is a way to represent the points on the segment using parameters.

To find a parametric description of the line segment from point P to point Q, we need the coordinates of P and Q.

Let's say the coordinates of P are (x1, y1) and the coordinates of Q are (x2, y2).

One way to find the parametric description is to use the equations:

x(t) = x1 + (x2 - x1) * t

y(t) = y1 + (y2 - y1) * t

where t ranges from 0 to 1.

For example, if P has coordinates (1, 2), and Q has coordinates (5, 6), the parametric description would be:

x(t) = 1 + (5 - 1) * t

y(t) = 2 + (6 - 2) * t

This parametric description would represent all the points on the line segment from P to Q.

So therefore the parametric description of the line segment from the point P to the point Q is given by x(t) = x1 + (x2 - x1) * t and y(t) = y1 + (y2 - y1) * t where t ranges from 0 to 1.