Question

Indicate in standard form the equation of the line passing through the given points.

S(, 1), T(, 4)

Answer 1

S(1/2,1)
T(1/2,4)

Answer 2

Its asking for just X, not x+y and therefore I'm lost/frustrated.

Answer 3

direction vector is vertical, for examle (1,0)
so:
x-1/2 =0
x=1/2

Answer 4

Okay could you explain that a wee bit more? I'm still lost ..

Answer 5

in a standart form ax+by=c
(a,b) is a vector which is perpendicular to the line. Since the line you whant is vertical, perpendicular vector could be (1,0). Rest just plug some point in to the equation...

Answer 6

but what about y? its ax+by=c Ugh...

Answer 7

y coordinate of the vector is 0. Remmeber our perpendicular vector is (1,0), so
1(x-p)+0*(y-q)=0
x-p=0

Answer 8

So for my equation what would it be?? I hate this I dont get what numbers go where or what the entire thing even means.

Answer 9

equation is x=1/2

Answer 10

ok?

Answer 11

How'd you get that though.....

Answer 12

I'm sorry I'm not trying to be thick...

Answer 13

like i said befor:
in a standart form ax+by=c
(a,b) is a vector which is perpendicular to the line. Since the line you whant is vertical, perpendicular vector could be (1,0).So when i substitute this in the equation ax+by=c I get: 1x+0*y=c, or x=c

Answer 14

@natnatwebb

Answer 15

thank you for your help.