Using proportions, the coordinates of the point 3/10 of the way from A(-4,-8) to B(9,6) are: (-0.1, -3.8).
<h3>What is the question?</h3>
The question asks to find the the coordinates of the point 3/10 of the way from A(-4,-8) to B(9,6).
<h3>What is a proportion?</h3>
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 or inverse proportional, can be built to find the desired measures in the problem.
The coordinates of A and B are given as follows:
A(-4,-8), B(9,6).
For the point C 3/10 of the way, we have that:
C - A = 3/10(B - A).
The x-coordinate is found as follows:
x + 4 = 3/10(9 + 4)
x + 4 = 3 x 1.3
x = -0.1.
The y-coordinate is found as follows:
y + 8 = 3/10(6 + 8)
y + 8 = 3 x 1.4
y = -3.8.
The coordinates of the point 3/10 of the way from A(-4,-8) to B(9,6) are: (-0.1, -3.8).
More can be learned about proportions at brainly.com/question/24372153
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