Question

On a coordinate plane a line passes through the origin and the point (8, 12).

What is the equation of the line?

Answer 1

3x-2y=0

Explanation:

Using two point form for finding the equation:

`y-y_(1) =(y_(2)-y_(1) )/(x_(2)-x_(1) )(x-x_(1) )`

Since the line is starting from origin then A(0,0) andpassing point B(8,12):

`y-0=(12-0)/(8-0) (x-0)`

`y=(12)/(8)(x)`

`y=(3)/(2) (x)`

`2y=3x`

`3x-2y=0`

Verification:

Put the value of B(8,12) in the equation:

`3x-2y=0`

`3(8)-2(12)=0`

`24-24=0`

`0=0`

Hence the equation is correct

Hope it helps.