1. Convert the equation into slope-intercept form.
5x-6y =30 Subtract 5x from each side
-6y = -5x + 30 Multiply each term by -1
6y = 5x – 30 Divide each side by 6
y = ⅚x - 5
2. Create a table of different x and y values,
x ⅚x – 5 y
-12 ⅚(-12) – 5 -15
-6 ⅚(-6) – 5 -10
0 ⅚(0) – 5 -5
6 ⅚(6) – 5 0
12 ⅚(12) – 5 5
3. Convert the table to ordered pairs
(-12,-15)
(-6, -10)
(0, -5)
(6, 0)
(12, -5)
4. Plot the points and draw a line through them.
The graph should look like the image below.