How do I graph a line given its equation?

Question

The equation is -3x + 2y = 2

Answer 1

Pick two points that satisfy the equation, and connect them with a line. The easiest ones are where x=0 (will give you a point on the y-axis) and where y=0 (will give you a point on the x-axis).

So, if x=0,
0 + 2y = 2 so y=1

If y=0,
-3x + 0 = 2, so x = -2/3

So, now you have two points: (0,2) and (-2/3,0)

plot 'em and connect 'em.