document.write( "Question 145880: What happens to the graph of the line y = 3x -2 when the equation is changed to y = 3x +6? \n" ); document.write( "
Algebra.Com's Answer #106467 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Yon can easily see what happens when you notice that the only difference between the two linear equations is y-intercept.
\n" ); document.write( "Notice that both equations are in the slope-intercept form: y = mx+b and, in both equations, the slope (m =3) is the same.
\n" ); document.write( "So the lines are parallel with the first one crossing the y-axis at y = -2 (b= -2), while the second one crosses the y-axis at y = 6 (b = 6)
\n" ); document.write( "Let's confirm this by graphing both equations.
\n" ); document.write( "y = 3x-2 (Red line)
\n" ); document.write( "y = 3x+6 (Green line)
\n" ); document.write( "\"graph%28400%2C400%2C-5%2C5%2C-5%2C8%2C3x-2%2C3x%2B6%29\"
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