Convert the inequality sign into an equal sign: y = 3x + 2. Graph the equation by drawing an x-y graph and label both the x-y axis from 1 to 10. Label both axis in the positive and negative direction. At x = 1, y = 5. Plot the point (1, 5). At x = 2, y = 8. Plot the point (2, 8). Plot two negative numbers to complete the graph. At x = -1, y is -1. Plot the point (-1, -1). At x = -2, y = -4. Plot the point (-2, -4). Connect the points into a line. Shade in the inequality on the graph. Since the inequality is a greater than sign, the inequality is true for all y values greater than the line. Therefore, you shade all of the area of the graph that is north of the line because north of the line represents all values where y is greater than the line. Be sure the shade does not touch the line because touching the line will mean "equal to."
Convert the inequality sign into an equal sign: y = 4x - 6. Graph the equation by drawing out an x-y graph and label both the x-y axis from 1 to 10. Label both axis in the positive and negative direction. At x = 1, y = -2. Plot the point (1,-2). At x = 2, y = 2. Plot the point (2, -2). Plot two negative numbers to complete the graph. At x = -1, y is -10. Plot the point (-1, -10). At x = -2, y = -14. Plot the point (-2, -14). Connect the points into a line. Shade in the inequality on the graph. Since the inequality is a less than the sign, the inequality is true for all y values less than the line. Therefore, shade all of the area of the graph that is south of the line because south of the line represents all values where y is less than the line. Be sure the shade does not touch the line because touching the line will mean "equal to."
Convert the inequality sign into an equal sign: y = 2x + 4. Graph the equation drawing out an x-y graph and label both the x-y axis from 1 to 10. Label both axis in the positive and negative direction. At x = 1, y = 6. Plot the point (1, 6). At x = 2, y = 8. Plot the point (2, 8). Plot two negative numbers to complete the graph. At x = -1, y is 2. Plot the point (-1, 2). At x = -2, y = 0. Plot the point (-2, 0). Connect the points into a line. Shade in the inequality on the graph. Since the inequality is a greater than and equal to sign, the inequality is true for all y values equal to and greater than the line. Therefore, shade the line and all of the area of the graph that is north of the line because north of the line represents all values where y is greater than the line.
Convert the inequality sign into an equal sign: y = 2x - 3. Graph the equation by drawing out an x-y graph and label both the x-y axis from 1 to 10. Label both axis in the positive and negative direction. At x = 1, y = -1. Plot the point (1,-1). At x = 2, y = 1. Plot the point (2, 1). Plot two negative numbers to complete the graph. At x = -1, y is -5. Plot the point (-1, -5). At x = -2, y = -7. Plot the point (-2, -7). Connect the points into a line. Shade in the inequality on the graph. Since the inequality is a less than and equal to sign, the inequality is true for all y values equal to and less than the line. Therefore, shade the line and all of the area of the graph that is south of the line because south of the line represents all values where y is less than the line.