Find an equation for the perpendicular bisector of the line segment whose endpoints (5, -3) and (-7, -7).
are

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the midpoint of the line segment

When two lines bisect each other, they intersect at the middle of each line, or the midpoint.

Plug in the endpoints (5, -3) and (-7, -7)

Therefore, the midpoint of the line segment is (-1,-5).

2) Determine the slope of the line segment

Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.

Slope = where the given points are and

Plug in the endpoints (5, -3) and (-7, -7)

Therefore, the slope of the line segment is . The negative reciprocal of is -3, so the slope of the perpendicular is -3. Plug this into :

3) Determine the y-intercept of the perpendicular bisector (b)

Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into and solve for b:

Subtract 3 from both sides

Therefore, the y-intercept of the line is -8. Plug this back into :

I hope this helps!

answer: no

step-by-step explanation:

you are only given the cost not the amount of pounds.

56

step-by-step explanation: