document.write( "Question 79429: (2,1) and (-2,-4) find the equation of the line. \n" ); document.write( "

Algebra.Com's Answer #57002 by funmath(2933) $\"\"$ $\"About$

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(2,1) and (-2,-4) find the equation of the line.
\n" ); document.write( "In order to find the equation of a line, you need a point and a slope.
\n" ); document.write( "We have two points, so we can find the slope with the slope formula: $\"highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29\"$ , m=slope, (x1,y1) and (x2,y2) are two given points.
\n" ); document.write( "(x1,y1)=(2,1) and (x2,y2)=(-2,-4)
\n" ); document.write( " $\"m=%28-4-1%29%2F%28-2-2%29\"$
\n" ); document.write( " $\"m=-5%2F-4\"$
\n" ); document.write( " $\"m=5%2F4\"$
\n" ); document.write( "Now you can use the point slope formula to find the equation of a line: $\"highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29\"$ , m=slope and (x1,y1) is a given point
\n" ); document.write( "(x1,y1)=(2,1) and m=5/4
\n" ); document.write( " $\"y-1=%285%2F4%29%28x-2%29\"$
\n" ); document.write( " $\"4%28y-1%29=4%285%2F4%29%28x-2%29\"$
\n" ); document.write( " $\"4%28y-1%29=5%28x-2%29\"$
\n" ); document.write( " $\"4y-4=5x-10\"$
\n" ); document.write( " $\"4y-4%2B4=5x-10%2B4\"$
\n" ); document.write( " $\"4y=5x-6\"$
\n" ); document.write( " $\"-5x%2B4y=-5x%2B5x-6\"$
\n" ); document.write( " $\"-5x%2B4y=-6\"$
\n" ); document.write( " $\"-1%28-5x%2B4y%29=-1%28-6%29\"$
\n" ); document.write( " $\"highlight%285x-4y=6%29\"$ Standard Form
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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