wondering if i have to make a x y chart

The easiest way to graph the equation 5x - 3y = 2 is to change the equation (from standard form) to the point slope form, y =
*m*x + *b*, where *m* = the lines slope and *b* = the y intercept (where the line crosses the y-axis). Use the following steps to convert the equation's form:

The first step is to isolate the y variable and subtracting 5x from both sides:

5x - 3y = 2

-5x -5x

- 3y = - 5x + 2

The next step is to complete the process of isolating y by dividing both sides by -3:

- 3y = - 5x + 2

-3 -3

y = 5/3 x - 2/3

We now have the equation in the slope-intercept form and can graph. Our first point will be the (0, -2/3), or the y-intercept. To find the next point simply use the lines slope (5/3), moving up the y-axis 5 points and then sliding 3 points to the right to the next point (3, 4 1/3).

We can prove this solution by substituting the points back into the original equation:

(0 , -2/3) ---> 5x - 2y = 2

5(0) - 3(-2/3) = 2

2 = 2

(3 , 4 1/3) ---> 5x - 2y = 2

5(3) - 3(4 1/3) = 2

15 - 13 = 2

2 = 2