Answer:
(0,7.5)
Explanation:
You want the coordinates of the y-intercept of the segment between (-6, 0) and (2, 10).
Proportion
The two triangles shown in the figure are similar, so their heights are proportional to their base lengths:
D/10 = (0-(-6))/(2-(-6))
D = 10(6/8) = 7.5
The coordinates of point D are (0,7.5).
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Additional comment
The length of each base is the difference of the x-coordinates of its end points.
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