Annie is creating a stencil for her artwork using a coordinate plane. the beginning of the left edge of the stencil falls at (1, −1). she wants to align an important detail on the left edge of her stencil at (3, 0). she knows this is 1: 3 of the way to where she wants the end of the stencil. where is the end of the stencil located?

The end of the stencil is located at, (9 , 3)

Step-by-step explanation:

Let, the end of the Stencil is located at (x ,y) .

According to the question,

The point (3 , 0) cuts the straight line segment joining (1 , -1) and (x , y) in the ratio 1 : 3 .

So,

⇒x  + 3 = 12

⇒x = 9 (1)

Again,

⇒ y = 3 (2)

So, the end of the stencil is located at, (9, 3)