# 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

**Solution:**

Given, the points are A(1, -1) and B(4, 5).

A line segment is drawn joining these points.

We have to write the coordinates of a point on this line segment between the points A and B.

Considering the point A(1, -1)

The x-coordinate is positive and the y-coordinate is negative

The point A lies in the fourth quadrant

Considering the point B(4, 5)

The x-coordinate is positive and the y-coordinate is positive

The point B lies in the first quadrant

On plotting the points A and B and joining them,

AB is a line segment.

Now draw perpendiculars from the x-axis to the line segment at x = 2 and x = 3

The perpendicular from x = 2 meet the line segment at P

The perpendicular from x = 3 meet the line segment at P’

Now draw perpendiculars from the y-axis to the line segment that intersects P and P’

The perpendicular from y = 1 intersects P

The perpendicular from y = 3 intersects P’

The coordinates of the point P are (2, 1)

The coordinates of the point P’ are (3, 3)

Therefore, the points P and P’ lie between the line segment A and B.

**✦ Try This:** On a graph paper, plot the points A(2, 3), B(6, -1) and C(0, 5). If these points are collinear, then draw the line which includes them. Write the coordinates of the points at which the line intersects the X-axis and the Y-axis.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 3

**NCERT Exemplar Class 9 Maths Exercise 3.4 Problem 5(i)**

## 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

**Summary:**

Plotting the points A (1, -1) and B (4, 5) and drawing a line segment joining these points, the coordinates of a point on this line segment between the points A and B are P(2, 1) or P’(3, 3)

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