Question

Write the equation of the line that is perpendicular to a segment created by joining points (1, 0) and (5, -2) and also passes through the midpoint of that segement. Any form is acceptable

Answer 1

does anyone know how to solve it

Answer 2

can you find the slope of the segment..?

Answer 3

first you have 2 points of a line, so you can get the slope
\[\frac{ x _{2}-x }{ y _{2}-y }\]
they are perpendicular ,so slope1 * slope 2 = -1
now you got the slope m
and get the mid point of the line (1,0(5,-2) and substitute in that form
y = mx +c
now you are done :d

Answer 4

and do you know to find the midpoint

Answer 5

Midpoint is (3,-1)

Answer 6

thats correct...

what about the slope of the original segment

Answer 7

don't know that

Answer 8

the line segment has a negative slope...

so find the rise and run...




the slope of the segment will be m = - rise/run

does that make sense

Answer 9

so -1/2
@campbell_st

Answer 10

and for the second get reciprocal times -1
then you get y= mx+ c
and substitute with mid point