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What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment? y = −4x − 4 y = −4x − 6 y = One-fourthx – 4 y = One-fourthx – 6.

Respuesta :

The equation in slope-intercept form, of the perpendicular bisector of the given line segment, is [tex]\rm y = -4x - 6[/tex].

Given

The given line segment has a midpoint at (−1, −2).

Let AB be segmented with midpoint M(-1,-2).

What is a perpendicular bisector?

The perpendicular bisector line always passes through the midpoint of the segment.

So, the equation satisfies the given midpoints.

Put x =-1 and y =-2 into the equation and we get;

Then,

[tex]\rm y = -4x -6\\\\y+4x=-6\\\\-2+4(-1)=-6\\\\-2-4=-6\\\\-6=-6[/tex]

Hence, the equation in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]\rm y = -4x - 6[/tex].

To know more about Perpendicular bisectors click the link given below.

https://brainly.com/question/5792883

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Answer:

y = −4x − 6

Step-by-step explanation:

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