Unit test: line and triangle relationships - part 1 question 8

What are the coordinates of the centroid of a triangle with vertices P(−4, −1), Q(2, 2), and R(2, −3)?

Enter your answers in the boxes.

( , )

Step-by-step explanation:

Given that:

The coordinates of the vertices of a triangle are given as:

, , and .

To find:

The coordinates of the centroid of the triangle.

Solution:

The coordinates of the centroid of a triangle is given as:

Where are the coordinates of the vertices of the triangle.

As per the given values, we have:

Putting the values,we can find the coordinates of centroid as:

Therefore, the coordinates of the centroid is:

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

b.an increase in a causes b to decrease