Question

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)

Answer 1

@AZ hehe

Answer 2

use desmos

Answer 3

So this is the concept

Answer 4

We have from (-1, 2) to (2, 1)

and we're trying to figure out the end

and the ratio from (-1, 2) to (2,1) is 1:2 to the other end

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
We have from (-1, 2) to (2, 1)

and we're trying to figure out the end

and the ratio from (-1, 2) to (2,1) is 1:2 to the other end
\(\color{#0cbb34}{\text{End of Quote}}\)
*visibly confused*

Answer 6

well I guess the easiest way to find the point would be to just follow the pattern and do it twice more

Answer 7

agreed

Answer 8

So to reach the other end, we have to have twice the length of that first segment

since it's in a ratio of 1:2

Answer 9

Does that make sense?

Answer 10

so B?

Answer 11

Correct!