Option B is correct. The equation of the perpendicular bisector of MN is
x = -4
The standard formula of the equation of a line is expressed as:
y = mx + b where;
m is the slope of a line
b is the y-intercept
Given the coordinate of the horizontal line (-7, 3) and (-1, 3)
Get the slope of the line
[tex]m=\frac{3-3}{-1+7}\\m=\frac{0}{6}\\m=0[/tex]
Since we are looking for the perpendicular bisector, the vertical line will cut MN at the middle.
midpoint of MN = -1-(-7)/2
midpoint of MN = 6/2
midpoint of MN = 3
This shows that the vertical line will cut through the midpoint and pass through the point (-4, 0).
The required equation will be expressed as x = a. Hence the equation of the perpendicular bisector of MN is x = -4
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