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Warm - Up

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 .

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Warm - Up

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

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

  3. Linear System of Inequalities

  4. 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.

  5. 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.

  6. 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.

  7. Graphing the inequalities • Example: Graph y > 1 , 2x + y < -3 and y > -3 -2x

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

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

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