Enter an equation in point-slope form for the perpendicular bisector of the segment with endpoints (−3, 7) and (1, −5). The point-slope equation of the perpendicular bisector is .

First find the slope of the line segment joining the points.
Slope = ((-5)-7)/(1-(-3)) = -3

The slope of any perpendicular to the line is 1/3

Find the midpoint of the line segment by taking the average of the coordinates.
x-coord of midpoint = (-3+1)/2 = -1
y-coord of midpoint = (7-5)/2 = 1
Midpoint : (-1,1)

Point-slope equation for line of slope 1/3 that passes through (-1,1):
y-1 = (1/3)(x+1)

Something that is true about that is that it has numbers

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice