Question 125412
Find the slope of the line with the equation 3x - 2y = 1?
First to obtain a set of points that follow the rule of the equation, you must substitute values of x into the equation to get the corresponding values for y.
You can select any two values for x and substitute them.

x=1 and x=3(keep it simple, work smart not hard)
3(1)-2y=1
3-2y=1  then u cancel out the 3 by adding a -3 to both sides
-3  -3 subtract
______

-2y=-2  work out the problem by dividing a -2 to both sides
-2  -2
the first set of negative two's cancel each other out.
Y=1 is the first answer
your first set of coordinates is (1,1).

3(3)-2y=1
9-2y=1  cancel out the 9 by adding a -9 to both sides
-9  -9
_______
-2y=-8  divide both sides by -2
-2  -2
y=4   so the next set of coordinates is (3,4)

now find the slope by using the equation (y2-y1)/(x2-x1)
so 4-1=3 (y2-y1)
and 3-1=2 (x2-x1)
so the slope is 3/2