document.write( "Question 78892: Find the equation of the line parallel to 4x-3y=8 and also goes through (0,5) \n" ); document.write( "

Algebra.Com's Answer #56614 by tutor_paul(519) $\"\"$ $\"About$

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The key thing to know here is parallel lines have the same slope.
\n" ); document.write( "Start out by putting the given line into y=mx+b form so that you can determine what that slope is:
\n" ); document.write( " $\"4x-3y=8\"$
\n" ); document.write( " $\"-3y=-4x%2B8\"$
\n" ); document.write( " $\"y=%284x%2F3%29-8%2F3\"$
\n" ); document.write( "So know you know the slope (m) is 4/3.
\n" ); document.write( "The problem also provides you with the y-intercept of the line you are trying to find. You know the line passes through (0,5). The Y intercept of a line is by definition the point where X=0, so the Y-intercept in this case is 5.
\n" ); document.write( "With this information, you can now write the equation of the line, since you know the slope (m) and the Y intercept (b):
\n" ); document.write( " $\"y=%284x%2F3%29%2B5\"$
\n" ); document.write( "Graph these two lines out to prove to yourself that they are indeed parallel.
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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