document.write( "Question 59522: Find the equation for this line (1,4)(5,6) \n" ); document.write( "

Algebra.Com's Answer #40789 by funmath(2933) $\"\"$ $\"About$

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Find the equation for this line (1,4)(5,6)
\n" ); document.write( "In order to find the equation for a line you need the slope and a point.
\n" ); document.write( "You don't have a slope, so we need to find it using the slope formula $\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"$ , m=slope, (x1,y1) and (x2,y2) are given points.
\n" ); document.write( "(x1,y1)=(1,4) and (x2,y2)=(5,6)
\n" ); document.write( " $\"m=%286-4%29%2F%285-1%29\"$
\n" ); document.write( " $\"m=2%2F4\"$
\n" ); document.write( " $\"m=1%2F2\"$
\n" ); document.write( "Now we can use the point slope formula $\"highlight%28y-y1=m%28x-x1%29%29\"$ ,m=slope, and (x1,y1) is a given point.
\n" ); document.write( "m=1/2 and (x1,y1)=(1,4)
\n" ); document.write( " $\"y-4=%281%2F2%29%28x-1%29\"$
\n" ); document.write( " $\"y-4=%281%2F2%29x-%281%2F2%29\"$
\n" ); document.write( " $\"y-4%2B4=%281%2F2%29x-%281%2F2%29%2B4\"$
\n" ); document.write( " $\"y=%281%2F2%29x-1%2F2%2B8%2F2\"$
\n" ); document.write( " $\"y=%281%2F2%29x%2B7%2F2\"$ Slope intercept form of the line.
\n" ); document.write( " $\"2y=2%281%2F2%29x%2B2%287%2F2%29\"$
\n" ); document.write( " $\"2y=x%2B7\"$
\n" ); document.write( " $\"-x%2B2y=-x%2Bx%2B7\"$
\n" ); document.write( " $\"-x%2B2y=7\"$
\n" ); document.write( " $\"-%28-x%2B2y%29=-7\"$
\n" ); document.write( " $\"x-2y=-7\"$ Standard form of a line.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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