Find the x-intercept and y-intercept of:
6x-8y=2
I need a bit of explanation and help in understanding this!

Question

Find the x-intercept and y-intercept of:
6x-8y=2
I need a bit of explanation and help in understanding this!

anonymous · Answer

to find the y intercept you need to express in this form:
y=mx+c

anonymous · Answer

Alright so how do you use that formula to plug in the values?

anonymous · Answer

m is the gradient and c is the y intercept
can you express in this form for the equation goven?

anonymous · Answer

I'm not sure but I'll give it a shot

anonymous · Answer

try and I will guide you through it

anonymous · Answer

hahah nevermind I'm lost

anonymous · Answer

6x-8y=2
now subtract 6x from both sides to get
-8y=-6x+2
ok so far?

anonymous · Answer

yes!

anonymous · Answer

Now divide both sides by -8 to get:
$$y=\frac{ 3 }{ 4 }x-\frac{ 1 }{ 4 }$$ok?

anonymous · Answer

okay that's slightly confusing but i get it

anonymous · Answer

Compare to 
y=mx+c
above, what is the y intercept?

anonymous · Answer

-1/4 ?

anonymous · Answer

yes correct

anonymous · Answer

to find the x intercept, you put y=0 into either the original equation or the second equation and find what is the value of x.  Let me know if you need help.

anonymous · Answer

wait so do you end up dividing 3/4 by 1/4 ?

anonymous · Answer

The other way round.  You divide 1/4 by 3/4

anonymous · Answer

okay so my answer would be 1/3 ?

anonymous · Answer

Yes.

anonymous · Answer

so the x intercept would be 1/3 and the y intercept would be -1/4

anonymous · Answer

yes

anonymous · Answer

thank you!!

anonymous · Answer

Welcomed