Question

We know that to plot a point on the plane, we need the two coordinates x and y. So (xi, yi) stands for a point. How many points do we need to determine a specific line? And what if we have more points than that – can we draw a line that goes through all of those points? (By a line we mean a straight line, not curves or zigzags)

Answer 1

For drawing a line we must need 2 points, without 2 point we can't determine a specific line .

If there is more than 2 points it is not necessary that the line must pass through all these points .

Suppose there is 3 points A(1,1),B(0,0) and C(1,2)

We can draw a line passes through A and B but this line not passes through C

Also we can draw a straight line through A and C, but this line doesn't contain B

Also we can draw a line which passes through B and C but A doesn't lie on this line.

So for making a line we need at least 2 points. If there is more than 2 points it is not necessary that all points must lie on that line.