Answer :
Using proportions, the coordinates of the point 3/10 of the way from (-3,-8) to (12,6) are: (1.5, -3.8).
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
We want a point C 3/10 of the way from A(-3,-8) to B(12,6), hence:
C - A = 3/10(B - A).
The x-coordinate of the point is found as follows:
x + 3 = 3/10(12 + 3)
x + 3 = 4.5
x = 1.5.
The y-coordinate of the point is found as follows:
y + 8 = 3/10(6 + 8)
y + 8 = 4.2
y = -3.8.
Hence the coordinates are: (1.5, -3.8).
More can be learned about proportions at https://brainly.com/question/24372153
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