Mathematics
Kyky232:

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)

Kyky232:

@AZ hehe

snowflake0531:

use desmos

AZ:

So this is the concept

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

Kyky232:

$$\color{#0cbb34}{\text{Originally Posted by}}$$ @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*

AZ:

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

snowflake0531:

agreed

AZ:

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

AZ:

Does that make sense?

Kyky232:

so B?

AZ:

Correct!