**Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.2 Question 5**

**5.** Find the ratio in which the line segment joining **A(1, -5)** and **B(-4, 5)** is divided by the **x-axis**. Also find the coordinates of the point of division.

**Solution:**

Let the coordinates of point of division be **(x, 0)** and suppose it divides line segment joining

**A(1, -5)** and **B(-4, 5)** in **k:1**.

According to Section formula, we can say that

**x = (1.1+ (-4)k) / (k+1) = (1-4k)/(k+1)** **(1)**

**And,**

**o = ((-5).1 + 5k)/(k+1)**

**Putting value of k in (1), we get**

**x = 1-4(1)/(1+1) = (1-4)/2 = -3/2**

**Therefore, point (-3/2, 0) on x-axis divides line segment joining A(1, -5) and B(-4, 5) in 1:1**