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m_a_m_a [10]
2 years ago
11

Indicate the equation of the given line in standard form, writing the answer below.

Mathematics
1 answer:
scZoUnD [109]2 years ago
4 0

Answer: y-\frac{11}{2}=6(x-2)

Step-by-step explanation:

For it to bisect the segment, we need to find the midpoint.

The midpoint is \left(\frac{-1+5}{2}, \frac{6+5}{2} \right)=\left(2, \frac{11}{2} \right).

Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the given segment is \frac{6-5}{-1-5}=-\frac{1}{6}, so the slope of the perpendicular bisector is 6.

Thus, the equation of the line in point-slope form is \boxed{y-\frac{11}{2}=6(x-2)}

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