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babymother [125]
3 years ago
15

One end point of a line segment is ( -3, -6 ) The length of the line segment is 7 units find four points that could serve as the

other end point of the given line segment
Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

(4, -6), (-10, -6), (-3, 1), (-3, -13)

Step-by-step explanation:

If we add/subtract t to/from any x/y coordinate, we will form a line segment with length 7. Hence, (4, -6), (-10, -6), (-3, 1), (-3, -13).

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&x_1&y_1\\
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\end{array}
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\\\\\\
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\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}
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