Warm - Up Graph the linear equation 2y + 4x = -2..

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Presentation transcript:

Warm - Up Graph the linear equation 2y + 4x = -2.

Review Special Linear Equations y = any number example: graph y = 5 X = any number example: graph x = 2 y = x

Linear System of Inequalities

Reminder Linear system in two variables – Has a solution that is an ordered pair (x, y). This is the point where the two linear equations intersect.

Linear Inequalities To check solutions for linear inequalities we substitute the given (x,y) point into the inequality. Example: Tell Whether the ordered pairs (5, -1) and (-2, 6) are solutions of the inequality 2x + 3y > 9.

Graphing linear inequalities Put the equation into y = mx + b form. Determine whether you will need a solid or dotted line. Graph the equation using the appropriate line. Shade the solution side of the equation. Test a point on each side of the linear equation.

Graphing the inequalities Example: Graph y > 1, 2x + y -3 -2x

Graphing a system of inequality Example: Graph the system of inequality y< x + 2 y > -1

Example Graph the system of inequality y < x + 2 y > -1 x > 2