Question

Find the equation of the line that passes through (-2,5) and is perpendicular to 2x+2y=18

Answer 1

recall , perpendicular slopes are a negative reciprocals of each other,

m -- -1/m

Answer 2

so the answer would be 2, -5 then?

Answer 3

Yeah they are basically already giving you it...

Answer 4

find what the slope of the given line is, then yhou know the perpendicular slope,

given a point , now have a slope, you can make the equation for the line

Answer 5

So do we fill in the x's with the point's and we get our answer?

Answer 6

I don't know how to do any of that lol

Answer 7

given line
2x + 2y = 18

slope of that , if you remember the m value in the form y = mx+b is the slope, will be
y = -x + 9, the slope for that one is -1

Answer 8

so it would be 8?

Answer 9

@DanJS OHHH..ok I get it now

Answer 10

so the slope of a line perpendicular to that given line will be -1/-1 or +1

Answer 11

so is that the answer?

Answer 12

-1/-1 or +1?

Answer 13

you have the slope, +1 and a point (-2 , 5) given on the line, you can make an equation with those

Answer 14

yeah anything divided by that same thing, is 1

Answer 15

how? by inputing them into the equation already given?

Answer 16

no you recall this

y - y1 = m*(x - x1) the point slope line form, you know the slope m, and the point (x1 , y1)

just put those in

Answer 17

y - 5 = 1 * (x - (-2))

simplify to some other from if you want, probably same standard as the other line

Answer 18

ok so what is the answer? lol

Answer 19

that's the part I always get stuck on

Answer 20

I know how to do the work, but I always get it wrong

Answer 21

-1 is the answer @AlixxKK

Answer 22

oh lol thanks

Answer 23

they want the equation of a line , perpendicular to that other line, and through that point

Answer 24

ok