A line segment, ST, has endpoints S(-10,1) and T(-2,3). Which of the following equations represents the perpendicular bisector of the line segment?

y = -4x - 22
y = 8x - 22
y = 2x - 23
y = -4x - 30

Question

A line segment, ST, has endpoints S(-10,1) and T(-2,3). Which of the following equations represents the perpendicular bisector of the line segment?

    y = -4x - 22
    y = 8x - 22
    y = 2x - 23
    y = -4x - 30

anonymous · Answer

im confused with this one

anonymous · Answer

first get the slope,wha do you think will be the slope?

anonymous · Answer

will it b -10,1

anonymous · Answer

i mean if you connect S and T,what is their slope?

anonymous · Answer

are you familiar on how to get slope between two points?

anonymous · Answer

S(-10,1) T(-2,3)

anonymous · Answer

not really

anonymous · Answer

oh,i see
are you familiar with m=(y2-y1)/(x2-x1) ?

anonymous · Answer

looks familiar but isnt that what the variables represent

anonymous · Answer

S and T are points
so your y2 will be 3,your y1will be 1,
your x2 will be -2,and your x1 will be -10

anonymous · Answer

try to substitute now

anonymous · Answer

so am i suppose to add or subtract

anonymous · Answer

subtract

anonymous · Answer

ok so this is for the problem im doing now

anonymous · Answer

because if i subtract all of that i will get 3

anonymous · Answer

what? that's not it,can you show how did you substitute?

anonymous · Answer

im sorry im just so confused im doing the problem and wht u sent me

anonymous · Answer

oky,do you like me to show you how?

anonymous · Answer

this problem right  A line segment, ST, has endpoints S(-10,1) and T(-2,3). Which of the following equations represents the perpendicular bisector of the line segment?

    y = -4x - 22
    y = 8x - 22
    y = 2x - 23
    y = -4x - 30

anonymous · Answer

that's the problem you want to solve

anonymous · Answer

yes

anonymous · Answer

i'll show the solution for getting the slope?

anonymous · Answer

ok

anonymous · Answer

your slope for the line segment ST will be
m=(3-1) / (-2-(-10))
m=2/(-2+10)
m=2/8
m=1/4

anonymous · Answer

and i remove the one right and it leaves me with 4

anonymous · Answer

no,you would still negate it, so the slope of the other equation will be -4

anonymous · Answer

so its a negative instead do i do the second part the same way as the first

anonymous · Answer

what do you mean?

anonymous · Answer

for perpendicular lines their slope would be negative reciprocal,so get its reciprocal and have a negative sign

anonymous · Answer

so it would be D -4 -30

anonymous · Answer

what do you think the slope of letter A?

anonymous · Answer

how are you sure with letter D?

anonymous · Answer

wait i got it thank u

anonymous · Answer

what did you got?