Given the points M(−6,−4) and T(9,16) find the y-coordinate of the point Q on the directed line segment MT so that MQ:QT=2:3.
1 answer:
Answer:
8
Step-by-step explanation:
Given the coordinates M (-6, -4) and T (9, 16)
If the coordinates are divided in the ratio 2:3 then a = 2, b = 3
The y coordinate of the point Q will be expressed as;
Y = ay1+by2/a+b
From the coordinates, y1 = -4 y2 = 16
Y = 2(-4)+3(16)/2+3
Y = -8+48/5
Y = 40/5
Y = 8
Hence the y-coordinate of the point Q is 8
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