Thread: equation of the line AB

hi,

i need to find the equation of the line AB from A(2,0) B(3,1)

for this would i do:

AB=(square root) 1^2 + 1^2= (square root)2?

is this correct? if not where am i going wrong?

The equation of a line refers to an equation in x and y which all points on that line satisfy. You have tried to find out the length of the line-segment AB which is not required. The following link should help.

Linear equation - Wikipedia, the free encyclopedia

thanks!

so would i do:
0=2m+c
1=3m+c

-1=-1

m=1
1=3+c 1/3=0.3
c=0.3

Y=1x+0.3???

would that be correct?

Originally Posted by andyboy179

thanks!

so would i do:
0=2m+c
1=3m+c

-1=-1

m=1


1=3+c

Correct.

1/3=0.3
c=0.3

Y=1x+0.3???

There is a slight error in this. How do you solve 1 = 3 + c ?

i did, 1/3=0.3

That is not how it is done. In an equation you perform the same operation on both sides. For example you can subtract some quantity, or divide both sides by a non-zero number. Which of the above would you do to get only c in a single side of 1 = 3 + c ?

could i -1 from both sides to make c=2?

That way you will get 0 = 2 + c. What is the next step?

-2 from each side so c=-2 and the final answer would be y=1x-2???

Originally Posted by andyboy179

-2 from each side so c=-2 and the final answer would be y=1x-2???

Absolutely !

thanks alot mate!!