How do you graph a linear equation in standard form


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4.5 graphing linear equation in a standard form

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Suppose you were given    3x + 5y = -2 and are asked to graph this.

Solve this equation for y:  5y = -3x - 2         Divide both sides by 5

                                            y = (-3/5)x - (2/5)

Your y-intercept is at (0, -2/5), and your slope is -3/5.

Plot (0, -2/5)..  Then, starting from this point, move 5 units to the right and then 3 units DOWN.  Plot the new point.  Connect the points with a straight line.

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y=x-2,y=4x+3 y=x+2,y=3x-4 y=x-2,y=3x+4 y=x+2,y=4x-3 The solution of this system of equations is (-3,5) (3,-5) (3,5) (-3,-5)

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