document.write( "Question 69046This question is from textbook Algebra 1
\n" ); document.write( ": write an equation in standard form of the line that has y-intercept=-4 and passes through (5,-3)
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Algebra.Com's Answer #49136 by funmath(2933) $\"\"$ $\"About$

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write an equation in standard form of the line that has y-intercept=-4 and passes through (5,-3)
\n" ); document.write( "There are a couple of ways to do this. One way is to use the slope intercept form of a line, $\"highlight%28y=mx%2Bb%29\"$ , where m=slope and b=y-intercept.
\n" ); document.write( "Let x=5, y=-3 and b=-4 and solve for m.
\n" ); document.write( " $\"-3=m%285%29%2B%28-4%29\"$
\n" ); document.write( " $\"-3=5m-4\"$
\n" ); document.write( " $\"-3%2B4=5m-4%2B4\"$
\n" ); document.write( " $\"1=5m\"$
\n" ); document.write( " $\"1%2F5=5m%2F5\"$
\n" ); document.write( " $\"1%2F5=m\"$
\n" ); document.write( "Let m=1/5 and b=-4 and you have the slope intercept form of a line.
\n" ); document.write( " $\"y=%281%2F5%29x%2B%28-4%29\"$
\n" ); document.write( " $\"y=%281%2F5%29x-4\"$
\n" ); document.write( "The standard form of a line is $\"highlight%28Ax%2BBy=C%29\"$ , where A,B, and C are integers. Some books also require that A is positive:
\n" ); document.write( " $\"5y=5%281%2F5%29x%2B5%28-4%29\"$
\n" ); document.write( " $\"5y=x-20\"$
\n" ); document.write( " $\"-x%2B5y=x-x-20\"$
\n" ); document.write( " $\"-x%2B5y=-20\"$
\n" ); document.write( " $\"-1%28-x%29-1%285y%29=-1%28-20%29\"$
\n" ); document.write( " $\"highlight%28x-5y=20%29\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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