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

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).

HELP ME PLEASE I DONT KNOW THE ANSWER

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

The equation of the perpendicular line is y = −4(x) − 6

Step-by-step explanation:

Given:

Three coordinates points (in pair).

Lets choose two points,in format.

Where

= and =

From these points we will find the slope using point-slope formula.

That is :

Plugging the values:

Now we know that product of slope of two perpendicular lines = -1.

So the slope of the line which is perpendicular .

Now using this slope we will plug the midpoint (-1,-2) values in point-slope form and reduced it to slope intercept.

So the equation of the perpendicular bisector is y = -4(x) - 6

y = -4(x) - 6

Step-by-step explanation:

For anyone looking for a simple answer.

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step-by-step explanation: