Question

What is the equation in standard form of the line which passes through (6, 3) and has a slope of 2/3?

2x + 3y = 3

2x – 3y = 3

3x + 2y = 3

3x – 2y = 3

Answer 1

the line having slope 2/3 is-------- y= 2/3 x + c

Since line passes through (6,3).. put x=6 and y =3

3= 2/3 *6 +c

3= 4 +c

c= 3-4 = -1

So the equation is-- y=2/3 x -1

or, 3y= 2x-3

or, 2x -3y = 3