223k views
1 vote
In what ratio the line segment joining the points A(1,1) and B(-1,3) is divided by the y-axis?

User Phil Clay
by
7.4k points

1 Answer

5 votes

In order to better understand, let's draw the segment and both axis:

Then, let's calculate the slope of this segment, using the following formula for two points (x1, y1) and (x2, y2):


m=(y_2-y_1)/(x_2-x_1)

Using points A and B, we have:


m=(3-1)/(-1-1)=(2)/(-2)=-1

That means for every unitary increase in x, the value of y decreases by 1 unit.

So, from point (-1, 3), let's add 1 unit to x and decrease 1 unit from y, then we have point (0, 2).

We can see that both x and y coordinates of this new point are the average of A and B coordinates (0 is the average of -1 and 1, 2 is the average of 1 and 3).

Therefore the line segment AB is divided in a ratio of 1 to 1 (it is divided into two equal segments)

In what ratio the line segment joining the points A(1,1) and B(-1,3) is divided by-example-1
User Mynawaz
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories