Given directed line segment with endpoints A(-3, 1) and B(5, 13), what is the coordinate that partitions the line segment into a ratio of 1:3? A(4, –1)

B(–1, 4)

C(–⅓, 5)

D(5, –⅓)

B(–1, 4)

Step-by-step explanation:

We want to find a point P(x,y).

Since it is on the directed line segment AB in the ratio 1:3, it means that:

So

We apply this to both the x-coordinate and y-coordinate of P.

x-coordinate:

x-coordinate of A: -3

x-coordinate of B: 5

x-coordinate of P: x

So

y-coordinate:

y-coordinate of A: 1

y-coordinate of B: 13

y-coordinate of P: y

So

So the correct answer is given by option B.

m a t h w a y. c o m

step-by-step explanation: