3x - 2y + 2y > -14 + 2y
3x + 0 > -14 + 2y
3x > -14 + 2y
3x + 14 > -14 + 14 + 2y
3x + 14 > 0 + 2y
3x + 14 > 2y
(3x + 14)/2 > 2y/2
(3x + 14)/2 > y*(2/2)
(3x + 14)/2 > y*(1)
(3x + 14)/2 > y
y < (3x + 14)/2
y < 3x/2 + 14/2
y < 3x/2 + 7
y < (3/2)*x + 7
“y” is LESS THAN (3/2)*x + 7
the slope intercept form of the inequality is: y < (3/2)*x + 7
STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol.
y < (3/2)*x + 7
y = (3/2)*x + 7
STEP 3: Prepare the x-y table using the equation from Step 2.
Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points.
Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake.
You can choose any value for x.
For example, (arbitrarily) choose x = -2
If x = -2,
y = (3/2)*x + 7
y = (3/2)*(-2) + 7
y = 4