# Graph 3x-2y>-14

by Jordan
(Florida)

How do you graph 3x-2y>-14?

Probably the easiest way to understand how to graph this inequality is to prepare an x-y table, and then plot the points listed in the table.

Begin by replacing the > designation with an = sign, and then rewrite the equation in slope intercept format.

 Dec 23, 2011 Graph 3x - 2y > -14 by: Staff Part I Question: by Jordan (Florida) How do you graph 3x - 2y > -14? Answer: 3x - 2y > -14 Plotting inequalities can be a lot of fun. Probably the easiest way to understand how to graph this inequality is to prepare an x-y table, and then plot the points listed in the table. You can follow the four steps below to plot the graph using this method: STEP 1: Solve for the variable “y”. 3x - 2y > -14 is written in the standard form Solve for “y” to rewrite the equation in the slope-intercept form 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 The first set of x-y coordinates = (-2, 4), since x = -2 and y = 4. (arbitrarily) choose x = 0 If x = 0, y = (3/2)*x + 7 y = (3/2)*(0) + 7 y = 7 The second set of x-y coordinates = (0, 7), since x = 0 and y = 7. (arbitrarily) choose x = 2 If x = 2, y = (3/2)*x + 7 y = (3/2)*(2) + 7 y = 10 The third set of x-y coordinates = (2, 10), since x = 2 and y = 10. The x-y table will look like this: (x, y) (-2, 4) (0, 7) (2, 10) --------------------------------------