One endpoint of a line segment is located at (-15, -3). The other

Mathematics

1 answer:

m_a_m_a [10]1 year ago

6 0

The ordered pair for the other end is (35, 3).

Here, first endpoint = (-15, -3)

Midpoint = (10, 0)

From the midpoint formula, we know that:

M = (x1 + x2)/2 , (y1 + y2)/2

So, here M = (10, 0)

x2 = -15

y2 = -3

We will separate the equation (1), in two parts to get the value of x1 and y1.

(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0

For x1,

(x1 + (-15))/2 = 10

x1 = 35

For y1,

(y1 + (-3))/2 = 0

y1 = 3

So, x1 = 35 and y1 = 3.

Therefore, the ordered pair that represents the other end of the segment is (35, 3).

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