Annie is creating a stencil for her artwork using a coordinate plane. the beginning of the left edge of the stencil falls at (-1, 2). she wants to align an important detail on the left edge of her stencil at (2, 1). she knows this is 1: 2 of the way to where she wants the end of the stencil. where is the end of the stencil located?

ANSWER

The end of the stencil is at: (8,-1)

EXPLANATION

Let the end of the stencil have coordinates

Then the point (2,1) divides the line segment from (-1,2) to

in the ratio 1:2.

Recall that the coordinates of this point (2,1) that partitioned the given line segment in the ratio 1:2 were obtained using:

and

Where 1:2=m:n is the ratio of the partition.

We plug in the values to get:

We do same to find the y-value

Therefore the end of the stencil is at: (8,-1)

..

step-by-step explanation:

21

step-by-step explanation: