Question

Determine the equation of the line, in standard form, that will get your spacecraft from the (1,2) to95 ,5)

Answer 1

* (1,2) to (5,5)

Answer 2

I am stuck. So far i have the slope 3/4 and i was using the point (5, 5). so far i have y-5= 3/4(x -5), i feel like i always make a mistake after this. can someone help?

Answer 3

@thomaster @myininaya @hartnn

Answer 4

i'm sorry to bother you guys, i'm new here...

Answer 5

y-5= 3/4(x -5)
is absolutely correct! with correct method :)

Answer 6

so in which form do u need the equation?

Answer 7

i mean u know what standard form is?

Answer 8

i need standard form which is Ax + By = C

Answer 9

right,
so for that lets multiply 4 on both sides first, what u get?

Answer 10

multiply 4? where is the 4? isn't it multiply 3/4 to (x-5)

Answer 11

? i'm not sure

Answer 12

it is, now we have a fraction there , the 3/4
how to eliminate that?
just multiply 4 to each term of the equation

so, 3/4*4=3 <----not a fraction
makes sense?

Answer 13

is that ok? well if we do that so far we would have y - 5 = 3 (x-5) which would be y-5= 3x -15.. then adding 5 to both sides it would be y= 3x -10 then moving 3x to the left we would get 3x + y = -10? right i feel that there should be a fraction in the front?

Answer 14

i said , multiply 4 to each term :)

so,
4y-4*5=3(x-5)
got this?

Answer 15

ahhhh! you see! i make this kind of mistake always! so 4y - 20 = 3x - 15 would work too?

Answer 16

in the standard form, we need constants on one side!
so lets first add 20 to both sides what u get?

Answer 17

4y = 3x +5?

Answer 18

correct!
lastly, just bring 3x on left, how ?

Answer 19

ahh yes! but is that ok? 3x + 4y = 5, i feel like there should be a fraction? but if this is ok then i can always do my work like this right? i always get confused with fractions..

Answer 20

by the way, thank you very very much! you helped me realized that there is more then one way or solving these types of problems :)

Answer 21

you just can not move it to left side!
you need to subtract 3x from both sides, so that on right side, 3x-3x =0 and 3x vanishs from right and -3x appers on left, makes sense ?

Answer 22

thank me after you get the correct answer :)

Answer 23

ahhh again, i did it again!! ahh -3x +4y =5 so i would have to multiply everything by -1 right?

Answer 24

so if it is like that it would be (-1)-3x + (-1)4y= (-1)5, which is 3x -4y = -5?

Answer 25

you can if you want to, but -3x +4y =5 is also acceptable

Answer 26

but the convention is to write the co-efficient of x as positive, so yes, go ahead and do that

Answer 27

oh, u already did :P
yes,
3x-4y=-5 is correct :D

Answer 28

any doubts ?

Answer 29

and since u r new here,
\[ \begin{array}l\color{red}{\text{W}}\color{orange}{\text{E}}\color{#e6e600}{\text{L}}\color{green}{\text{C}}\color{blue}{\text{O}}\color{purple}{\text{M}}\color{purple}{\text{E}}\color{red}{\text{ }}\color{orange}{\text{t}}\color{#e6e600}{\text{o}}\color{green}{\text{ }}\color{blue}{\text{O}}\color{purple}{\text{p}}\color{purple}{\text{e}}\color{red}{\text{n}}\color{orange}{\text{S}}\color{#e6e600}{\text{t}}\color{green}{\text{u}}\color{blue}{\text{d}}\color{purple}{\text{y}}\color{purple}{\text{!}}\color{red}{\text{!}}\color{orange}{\text{}}\end{array} \]

Answer 30

no doubts :) thank you very much... again haha :D

Answer 31

and thank you for the welcome :D

Answer 32

welcome ^_^

Answer 33

i taught you math, will u teach me tennis ?

Answer 34

gone? :(