document.write( "Question 54977: Write the equation of the line that passes through the points (3,5) and (-1,10) \n" ); document.write( "

Algebra.Com's Answer #37171 by funmath(2933) $\"\"$ $\"About$

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Write the equation of the line that passes through the points (x1,y1)=(3,5) and (x2,y2)=(-1,10)
\n" ); document.write( ":
\n" ); document.write( "We need a slope (m) and a point to make the equation of a line:
\n" ); document.write( "If we have two points, (x1,y1) and (x2,y2) we can find the slope with the slope formula: $\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"$
\n" ); document.write( " $\"m=%2810-5%29%2F%28-1-3%29\"$
\n" ); document.write( " $\"m=5%2F-4\"$
\n" ); document.write( ":
\n" ); document.write( "Now that we have a slope to go with a point we can use the point-slope formula $\"highlight%28y-y1=m%28x-x1%29%29\"$ , where m=slope and (x1,y1) is a given point, to make an equation of a line:
\n" ); document.write( " $\"y-5=%28-5%2F4%29%28x-3%29\"$
\n" ); document.write( " $\"4%28y-5%29=4%28-5%2F4%29%28x-3%29\"$
\n" ); document.write( " $\"4y-20=%28-20%2F4%29%28x-3%29\"$
\n" ); document.write( " $\"4y-20=-5%28x-3%29\"$
\n" ); document.write( " $\"4y-20=-5x%2B15\"$
\n" ); document.write( " $\"4y-20%2B20=-5x%2B15%2B20\"$
\n" ); document.write( " $\"4y=-5x%2B35\"$
\n" ); document.write( " $\"4y%2F4=-5x%2F4%2B35%2F4\"$
\n" ); document.write( " $\"highlight%28y=%28-5%2F4%29x%2B35%2F4%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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