Questions: Find parametric equations for the line shown below.

Solution Steps

To find parametric equations for a line, we need a point on the line and a direction vector. Since the line is the x-axis, any point on the x-axis can be used, such as (0, 0). The direction vector for the x-axis is (1, 0). Using these, we can express the parametric equations for the line.

The parametric equations for the line along the x-axis can be expressed as: \[ x(t) = t \] \[ y(t) = 0 \] where \( t \) is the parameter.

To find the coordinates of a point on the line for a specific value of \( t \), we substitute \( t = 5 \) into the parametric equations: \[ x(5) = 5 \] \[ y(5) = 0 \]

The coordinates of the point on the line when \( t = 5 \) are \( (5, 0) \).

Final Answer