Write the equation of the perpendicular bisector of mn.
a) y = -4
b) x = -4
c) y = 4x
d) y = x - 4

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

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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B) x = -4

Step-by-step explanation:

equation in the form of x=some_constant_number will give you a vertical line, which will be perpendicular to the horizontal line MN

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step-by-step explanation: