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lesson 12.4c graphing an equation these are going to be equations in two variables an ordered pair x y that makes an equation like y equals x plus 1 true is called a solution of the equation so that ordered pair that makes this equation true is the solution of the equation the graph of the equation represents all of the ordered pairs that are solutions the points on a graph can have whole number or fractional coordinates the fractional coordinates can be written as fractions or decimals we might see something like x is a half and y is three-fourths or we could see its five-tenths or seventy-five hundredths the coordinates can be any pair of rational numbers that satisfies the equation makes the equation true its telling us to graph the equation y is equal to x plus one we start by making a table of values and we put well we have x plus one so if x is zero well x plus one would be one so we have an ordered pair of zero for x and one for y zero for x would be right here and one for y