Question

Given the x-intercept is 4 and y-intercept is also 4, how do you write the equation of the line in the form of ax+by=c ?

Answer 1

the 2 intercept form off line equation is ,
\(\Large \dfrac{x}{a}+\dfrac{y}{b}=1\)

where a= x intercept, here a=4
b= y-intercept, here b=4

Answer 2

then just multiply throughout by 4 and you'll get it in required form :)

Answer 3

is the answere \[ \frac{ x }{ a } + \frac{ y }{ b } = 1 ?\]

Answer 4

that is the general form,
here you are given a=4,b=4
so plug these in that form..

Answer 5

then, it is \[\frac{ x }{ 4 } + \frac{ y }{ 4 } = 1 ?\]

Answer 6

to get the form, ax+by =c
you just need to multiply by 4 throughout.
this is the last step :)

Answer 7

where would I multiply 4? Sorry. I have too many questions. I'm not just good at math. Please bare with me.

Answer 8

because the form that we require, ax+by=c
does not have any denominator.
so to eliminate the denominator of 4, we multiply every term by 4

Answer 9

so, multiply 4 to each term like this,
\(\Large \frac{ x }{ 4 }\times 4 + \frac{ y }{ 4 }\times 4 = 1\times 4 \)
can you simplify that ?

Answer 10

4x + 4y = 4 ?

Answer 11

noo...the 4 cancels out,
\(\Large \frac{ x }{ \cancel 4 }\times \cancel 4 + \frac{ y }{\cancel 4 }\times \cancel 4 = 1\times 4 \\ \Large \implies x+y=4\)
got this ?

Answer 12

ohh thank you very much. is that also how you do it on other equations?

Answer 13

if intercepts are given and we need ax+by=c form, then yes, this is how it is done...

Answer 14

thank you very much :D it helped me alot.

Answer 15

you're welcome ^_^

Answer 16

Can i ask one last question? What if the intercepts are diff. like -3 and -1 ?

Answer 17

yes, then you multiply them first, and multiply the answer throughout.
like if you had the intercept, 5 and 7, you would multiply 35 throughout.

Answer 18

is it like this? \[\frac{ x }{ -3 } \times -3 + \frac{ y }{ -1 } \times -1 = -3\times-1\]

Answer 19

no, you should multiply each term by only 1 number.
here, you multiplied 1st term by -3 and 2nd term by -1, that is not allowed.

let us multiply by -3 throughout,
\(\Large \frac{ x }{ -3 } \times -3 + \frac{ y }{ -1 } \times -3 = -3\times1\)
now simplify :)

Answer 20

x + 3y = -1 ?

Answer 21

x+3y = -3

-2*1=-3

Answer 22

***-3*1=-3

Answer 23

where did -2 came from?

Answer 24

that was typing mistake, i corrected it afterwards., i meant
-3*1=-3

Answer 25

you transposed it?

Answer 26

how did u get -1 on right side of x + 3y = -1 ?
shouldn't that be -3 ?

Answer 27

oh my mistake :) yes. it should be -3

Answer 28

yes, thats what i was pointing out :)
so, x+3y = -3

Answer 29

oh now i get it. :)) thank you for your patience.

Answer 30

you're welcome ^_^

Answer 31

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