document.write( "Question 1077648: Can you show me step by step how to solve the Multiple Representations for the Process y = 3x + 1. They show example like:
\n" ); document.write( "y = 3x + 1
\n" ); document.write( "y = 3(0) +1
\n" ); document.write( "y=0+1
\n" ); document.write( "y=1
\n" ); document.write( "ordered pair (0,1)
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Algebra.Com's Answer #692112 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
You have an equation in slope-intercept form. You solve to be able to GRAPH it, so begin by drawing a cross in a piece of paper, and call the vertical line y and the horizontal x.
\n" ); document.write( "To solve, we need to find two ordered pairs (x, y) (x, y):
\n" ); document.write( "y = 3x+1 here the vertical line y equals 3 times the variable horizontal line x, and 1 is the intercept (where x crosses the y line)
\n" ); document.write( "Set x to 0:
\n" ); document.write( "y = 3(0)+1 3 times 0 = 0, so you get:
\n" ); document.write( "y = 1
\n" ); document.write( "now we have our first ordered pair: (0, 1)
\n" ); document.write( "Next, solve for x:
\n" ); document.write( "y = 3x+1
\n" ); document.write( "flip it around:
\n" ); document.write( "3x+1 = y
\n" ); document.write( "subtract 1 from both sides:
\n" ); document.write( "3x = y-1
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "x = (y/3)-(1/3)
\n" ); document.write( "set y to 0
\n" ); document.write( "x = (0/3)-1/3
\n" ); document.write( "zero divided by any number is zero, so now we have:
\n" ); document.write( "y = 0-1/3 = -1/3
\n" ); document.write( "Now we have a second ordered pair: (-1/3, 0) or in decimals: (-0.333, 0)
\n" ); document.write( "Mark both points (0, 1) (-0.333, 0) and draw a line joining the two points. Now you've got a graphical representation of y = 3x+1 like the one I made you below.
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