Question

What is the fewest number of points that can determine a line?

Answer 1

We know that a line is a straight segment that joins two distinct points.

A line can be drawn using any two points on the rectangular coordinate system.

`\\ \text{For example a line joining the points }(x_1, y_1)\text{ and }(x_2,y_2 )\text{ is given by}\\ \text{the formula}\\ \\ y-y_1=\left ( (y_2-y_1)/(x_2-x_1) \right )(x-x_1)\\ \\ \text{with the help of one point, we can't draw a line, as any point just}\\ \text{represent a dot.}\\ \\ \text{so in order to draw a line, minimum two points are required}`

The fewest number of points that can determine a line are: Two