Question

question 10 of 40
what are the coordinates of the point that is $\frac{1}{4}$ of the way from $a(-6, -3)$ to $b(6, 1)$?
a. $(0, -2)$
b. $(3, 2)$
c. $(-1, 0)$
d. $(-3, -2)$

Explanation:

Step1: Find x-coordinate increment

$\Delta x = 6 - (-6) = 12$

Step2: Calculate x offset

$x_{offset} = \frac{1}{4} \times 12 = 3$

Step3: Find final x-coordinate

$x = -6 + 3 = -3$

Step4: Find y-coordinate increment

$\Delta y = 1 - (-3) = 4$

Step5: Calculate y offset

$y_{offset} = \frac{1}{4} \times 4 = 1$

Step6: Find final y-coordinate

$y = -3 + 1 = -2$

Answer:

D. (-3,-2)