1. { Graphing Linear Equations And Inequalities

2.  Create an x y chart.  Pick the x’s that you would like to use.  You must pick at least three, you may pick more.  Remember, small numbers close to zero work best.  Find the y values by plugging your x values into the given equation and solve for y.  Graph your points and draw your line. Graph using an x y chart 2x – 4y = 12 x y 0 1 -3.5 -3 -2.5

3.  Find the x-intercept of the line by setting y = 0.  The x-intercept can be written as a point (x, 0)  Find the y-intercept of the line by setting x = 0.  The y-intercept can be written as a point (0, y)  Plot the x and y intercepts on your graph and connect the two points.  You only need two points for this method only. Graph using x and y intercepts 2x – 4y = 12 x-int : 2x – 4(0) = 12 x-int = 6 pt (6, 0) Y-int : 2(0) – 4y = 12 y-int = -3 pt (0, -3)

4.  Start your graph at the given point.  Count your slope from the given point.  Connect your points to graph your line. Graph with the slope and a point

5. Graph using y = mx + b 3x – 5y = -15 -3x -5y = -3x - 15 -5 -5

6.  Graph the same as lines.  You will graph a solid line with ≤ or ≥.  You will graph a dotted line with.  Shade above the line for ≥ or >.  Shade below the line for ≤ or <.  Check your solution by plugging a point in. If the point works in your line then your graph should be shaded to that side. (0, 0) is the best point to use Graph Inequalities y ≤ -3x - 4