 # Coordinate Graphing System of Linear Inequalities.

## Presentation on theme: "Coordinate Graphing System of Linear Inequalities."— Presentation transcript:

Coordinate Graphing System of Linear Inequalities

Graph a Linear Equation Graph y = -2x + 1 on the following coordinate axis: y = mx + b b = 1 m =

Graph an Inequality Graph y < -2x + 1 on the following coordinate axis: y = -2x + 1 b = 1 m = Line is dotted test (0, 0) 0 < -2(0) + 1 0 < 0 + 1 0 < 1 ✔

Graph a System of Inequalities Graph y > x + 5 and y < -2x + 1 on the same coordinate plane. y = x + 5 b = 5 m = Line is solid test (0, 0) 0 > (0) + 5 0 > 5 ✗ y = -2x + 1 b = 1 m = Line is dotted test (0, 0) 0 < -2(0) + 1 0 < 0 + 1 0 < 1 ✔ S y > x + 5 y < -2x + 1

Solution Which of the following are solutions? (1, 3) (2, 7) (0, 6) (-2, 5) (-5, 2) (-6, -1) (-2, -5) (2, -3) ✗ ✔ ✗ ✗ ✗ ✔ ✗ ✗

You try … Graph y -2 on the same coordinate plane. y = -2x + 3 b = 3 m = Line is dotted test (0, 0) 0 < -2(0) + 3 0 < 3 y – 3x = -2  y = 3x - 2 b = -2 m = Line is solid test (0, 0) 0 - 3(0) > -2 0 > -2 ✔ ✔ S y – 3x > -2 y < -2x + 3