Can anybody help me, please 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?
(0, 5)
(8, −1)
(0.5, 1.5)
(1, 1.7)

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

Step-by-step explanation:

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² +  (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8  

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1  

The coordinates of the end of the stencil = (8, -1)