Question

write an equation of the line through the point parallel to the given line and perpendicular to the given line. Point: (-3,2). Line: x+y=7

Answer 1

@ParthKohli @mathteacher1729 @amistre64

Answer 2

do parallel lines have the same slope?

Answer 3

yes..i think

Answer 4

and its asking for a perp line thru the point given ; so whats a property of perp lines? slopewise that is

Answer 5

it is opposite..like if the original is 2/3, it would be i believe -3/2

Answer 6

its seems to be asking for both a perp and a parallel

Answer 7

yes

Answer 8

good, 2/3 would be -3/2

Answer 9

yea

Answer 10

well, lets find the slopd of the given line

Answer 11

kk

Answer 12

when given the form:
ax + by = c

the slope can be determined as -a/b

Answer 13

y=-x+7?

Answer 14

oh ok, so slope of line is -1?

Answer 15

-1 is good, and thats going to be our parallel line slope; what our perp slope then?

Answer 16

1

Answer 17

good, now use point slope forms to establish line equations with

Answer 18

slope of the given line is -1
slope of required line will be 1
so point slope form
y-y1=m(x-x1)
y-2=1(x-(-3)
x-y+5=0

Answer 19

wait what

Answer 20

point slope form:

y-Py = m(x-Px)

Answer 21

Can u explain? first the parallel ?

Answer 22

the equation

Answer 23

your given the point (Px,Py): (-3,2)

Answer 24

your prolly used to seeing it as:

y-y1 = m(x-x1)

Answer 25

yes

Answer 26

plug in our values:

parallel = same slope: y-2 = -1(x--3)

perp slope = y-2 = 1(x--3)

Answer 27

ok yea

Answer 28

two negatives equals a positive ;)

Answer 29

Ok so my answer: parallel: y-2=-1(x+3) and perp: y-2=1(x+3)

Answer 30

complete solution is there in my response take a look.

Answer 31

thats correct

Answer 32

so thats my answ? :)

Answer 33

x-y+5=0 is answer

Answer 34

thx @sami-21 and @amistre64

Answer 35

as long as there isnt some overarching paragraph the says: put this in "such and such" form; its fine