Students were asked over to answer a question at education and to assert what is most important for them to succeed. The one which response stood out from the rest was practice. People who generally are successful do not become successful by being born. They work hard and dedicate their lives to succeeding. If you want to reach your goals, keep this in mind! followed below are one of the answer and question example that you may implement to practice and further enhance your information and also give you insights that could help you to preserve your study in school.

## Question:

given the points A(-3,-4) and B(2,0), point P (-1,-12/5) partitions AB in the ratio A. 1:3 B. 2:1 C. 2:3 D. 3:2

## Answer:

The point P (-1,-12/5) **partitions** the given line AB into two **line segments** with **ratio**: C. 2:3

### How to divide lines into segments?

We are given the **coordinates;**

A(-3,-4) and B(2,0)

Now, P(-1,-12/5)** partitions **line AB

The point (-1, -12/5) lies on the line from A to B, but not in the center.

Thus, by using length of a **line segment** formula, we have;

AP = √[(-1 – (-3))² + (-12/5 – (-4))²] =

AP = √[2² + 1.6²] =

AP = √6.56

AP = 2.561

PB = √[(-1 – 2)² + (-12/5 – 0)²]

PB = √[(-3)² + (-12/5)²]

PB = √14.76

PB = 3.842

Thus;

AP:PB = 2.561 : 3.842 This is **approximately **a ratio of 2:3

Thus, the point P partitions AB into two **line segments** with ratio 2:3

From the answer and question examples above, hopefully, they may help the student deal with the question they had been looking for and take note of every detail stated in the answer above. Then would certainly make some sharing in a group discussion and also study with the classmate with reference to the topic, so another student also has some enlightenment and still keeps up the school learning.