PL HELP I WILL REPORT IF WRONG Write the equation of the perpendicular bisector of AB¯¯¯¯¯¯¯¯ if A(–6, –4) and B(2, 0).

Group of answer choices

y=−2x−2

y=−2x−6

y=1/2x−6

y=1/2x−2

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Step-by-step explanation:

Calculate the gradient of line . For a non-vertical line that goes through and where , the gradient would be:

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For line , the two points are and . Hence, the gradient of line would be:

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The perpendicular bisector of a line segment ( in this question) is perpendicular to that line segment.

In a cartesian plane, the gradients of two lines perpendicular to one another would be inverse reciprocals. In other words, the product of these two gradients would be .

Hence, if represents the gradient of , and represents the gradient of the perpendicular bisector, then .

Since the gradient of is , the gradient of its perpendicular bisector would be:

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The perpendicular bisector of a line segment ( in this question) goes through the midpoint of that line segment.

Apply the midpoint formula to find the midpoint of segment .

If the endpoints of a line segment are and , the midpoint of that line segment would be:

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The two endpoints of segment are and . The midpoint of segment would be:

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Find the equation of this perpendicular bisector in the point-slope form.

Consider a non-vertical line of slope . If this line goes through the point , the point-slope form equation of this line would be:

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The slope of the perpendicular bisector in this question is . Besides, this line goes through the point . Henec, the point-slope equation of this line would be:

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All the choices in this question are in the slope-intercept form. Hence, rewrite the point-slope equation to find the corresponding (equivalent) slope-intercept equation of this line:

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hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!