Suppose line segment XY has one endpoint at X(0,0). Question 1- Is (3,4) is the midpoint of line segment XY, what are the coordi

Question

Suppose line segment XY has one endpoint at X(0,0).

Question 1- Is (3,4) is the midpoint of line segment XY, what are the coordinates of point y?

Question 2- What are the coordinates of Y if (3,4) is 1/3 of the way from X to Y?

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Cherry 4 years 2021-09-05T12:40:51+00:00 1 Answers 13 views 0

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  1. RuslanHeatt
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    2021-09-05T12:42:48+00:00
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    Answer:

    1) The coordinates of point Y are (6,8), 2) The coordinates of point Y are (9,12).

    Step-by-step explanation:

    1) We know that X = (0, 0) and M = (3, 4), being the latter one the midpoint of line segment XY. Vectorially, the location of point Y is determined by the following expression:

    Y = X + 2\cdot M

    Now we solve the expression above:

    Y = (0,0)+2\cdot (3,4)

    Y =(0,0) +(6,8)

    Y = (0+6,0+8)

    Y = (6,8)

    The coordinates of point Y are (6,8).

    2) We know that X = (0, 0) and M = (3, 4), being the latter one a third of the way of line segment XY.

    Vectorially, the location of point Y is determined by the following expression:

    Y = X + 3\cdot M

    Now we solve the expression above:

    Y = (0,0)+3\cdot (3,4)

    Y =(0,0) +(9,12)

    Y = (0+9,0+12)

    Y = (9,12)

    The coordinates of point Y are (9,12).

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