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Published byPiers Mason Modified over 8 years ago

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{ Graphing Linear Equations And Inequalities

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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

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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)

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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

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

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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

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