Answer:
[tex](-3, -2)[/tex]
Step-by-step explanation:
To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:
The midpoint is at [tex](\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})[/tex]. Where:
[tex](x_{1}, x_{2}) = (-6, 6) [/tex]
[tex](y_{1}, y_{2}) = (-3, 1) [/tex]
Then, the midpoint is at:
[tex](\frac{-6 +6 }{2}, \frac{-3+1}{2})[/tex] = [tex](0, -1)[/tex]
Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:
[tex](x_{1}, x_{2}) = (-6, 0) [/tex]
[tex](y_{1}, y_{2}) = (-3, -1) [/tex]
⇒ [tex](\frac{-6 +0}{2}, \frac{-3-1}{2})[/tex] = [tex](-3, -2)[/tex]
Therefore, the point is 1/4 of the way from A to B is: [tex](-3, -2)[/tex]
