document.write( "Question 65122: find the equation of a line for this points (-1,3) and (3,-4) \n" ); document.write( "

Algebra.Com's Answer #45648 by funmath(2933) $\"\"$ $\"About$

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find the equation of a line for this points (-1,3) and (3,-4)
\n" ); document.write( "In order to find the equation of a line, you need a point and a slope.
\n" ); document.write( "Youe can find the slope between two points using the slope formula:
\n" ); document.write( " $\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"$ , m=slope, (x1,y1) and (x2,y1) are two given points.
\n" ); document.write( "(x1,y1)=(-1,3) and (x2,y2)=(3,-4)
\n" ); document.write( " $\"m=%28-4-3%29%2F%283-%28-1%29%29\"$
\n" ); document.write( " $\"m=-7%2F4\"$
\n" ); document.write( "You can find the equation with a point and a slope using the point-slope formula: $\"highlight%28y-y1=m%28x-x1%29%29\"$ , m=slope and (x1,y1)=given point.
\n" ); document.write( "The slope, m=-7/4, (x1,y1) can be either point, to avoid confusion, I'm going with: (x1,y1)=(-1,3)
\n" ); document.write( " $\"y-3=%28-7%2F4%29%28x-%28-1%29%29\"$
\n" ); document.write( " $\"y-3=%28-7%2F4%29%28x%2B1%29\"$
\n" ); document.write( " $\"4%28y-3%29=4%28-7%2F4%29%28x%2B1%29\"$
\n" ); document.write( " $\"4y-12=-7%28x%2B1%29\"$
\n" ); document.write( " $\"4y-12=-7x-7\"$
\n" ); document.write( " $\"4y-12%2B12=-7x-7%2B12\"$
\n" ); document.write( " $\"4y=-7x%2B5\"$
\n" ); document.write( " $\"7x%2B4y=7x-7x%2B5\"$
\n" ); document.write( " $\"highlight%287x%2B4y=5%29\"$ This is the equation in standard form.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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