Question

Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.

Answer 1

In point A(1, – 1), x-coordinate is positive and y-coordinate is negative, so it lies in IV quadrant.

In point B(4, 5), both coordinates are positive, so it lies in I quadrant.

On plotting these point, we get the following graph.

On joining the points A and B, we get the line segment AB.

Now, to find the coordinates of a point on this line segment between A and B draw a perpendicular to x-axis from x = 2 and 3.

Since, x = 2 and 3 lies between A and B say it intersect line segment AB at P and p'.

Now, draw a perpendicular to y-axis from P and p’, they intersect y-axis at y = 1 and 3, respectively.

Thus, we get points (2, 1) and (3, 3) which lie between line segment AB.