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Answer:
The required equation is:
Step-by-step explanation:
To find the equation of a line, the slope and y-intercept is required.
The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.
Given points are:
We will find the slope of given line segment first
Let m_1 be the slope of perpendicular bisector then,
Now the mid-point
We have to find equation of a line with slope -3/2 passing through (2,6)
The equation of line in slope-intercept form is given by:
Putting the value of slope
Putting the point (2,6) to find the y-intercept
The equation is: