Given points A(-7, 4) and B(5, 12), find the point P that partitions directed line segment top enclose A B end enclose in the ratio of 3:1. Type your answer as an ordered pair (x, y).

Therefore,

Step-by-step explanation:

Given:

Let Point P ( x , y ) divides Segment AB in the ratio 3 : 1 = m : n (say)

point A( x₁ , y₁) ≡ ( -7 , 4)  

point B( x₂ , y₂) ≡ (5 , 12)  

To Find:  

point P( x , y) ≡ ?  

Solution:  

IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

Substituting the values we get

Therefore,

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.