document.write( "Question 171045: this is my original question:
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document.write( "When y=5x is changed to y=5(x-6), how is the graph translated?\r
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document.write( "what does that mean? \n" );
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Algebra.Com's Answer #129806 by actuary(112)![]() ![]() ![]() You can put this solution on YOUR website! Think about the general equal for a line -- y = mx+b where m is the slope of the line and b is the y-intercept (the value of y when x = 0)\r \n" ); document.write( "\n" ); document.write( "Take the equation y = 5*(x-6) Simplify this to y = 5*x - 30. Compare this equation to the equation y =5*x. The slopes are the same for each equation. However, the y-intercepts are different. The y-intercept is \"0\" for the equation y = 5*x. The y-intercept is -30 for the equation y = 5*x-30.\r \n" ); document.write( "\n" ); document.write( "This means that the graph of the equation y = 5*x-30 is \"pushed down\" by 30 as compared to the graph of the equation y = 5x. To see this, look at the two graphs and see the difference between the value for \"y\" for each value of \"x\".\r \n" ); document.write( "\n" ); document.write( " |