Question

What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?

Answer 1

Answer:

$(-3, -2)$

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 $(\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})$. Where:

$(x_{1}, x_{2}) = (-6, 6)$

$(y_{1}, y_{2}) = (-3, 1)$

Then, the midpoint is at:

$(\frac{-6 +6 }{2}, \frac{-3+1}{2})$ = $(0, -1)$

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:

$(x_{1}, x_{2}) = (-6, 0)$

$(y_{1}, y_{2}) = (-3, -1)$

⇒ $(\frac{-6 +0}{2}, \frac{-3-1}{2})$ = $(-3, -2)$

Therefore, the point is 1/4 of the way from A to B is:  $(-3, -2)$