document.write( "Question 262748: Write an equation in point-slope form for the line through the given points or through the given point with the given slope. (5,7), (6,8). \n" ); document.write( "

Algebra.Com's Answer #193525 by drk(1908) $\"\"$ $\"About$

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Our first step is to find the slope using the two points. WE use
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "plugging in our coordinates, we get
\n" ); document.write( " $\"m+=+%288-7%29%2F%286-5%29\"$
\n" ); document.write( "this gives us a slope of
\n" ); document.write( "m = 1.
\n" ); document.write( "----
\n" ); document.write( "step 2 - find b using y = mx + b
\n" ); document.write( "we start with
\n" ); document.write( " $\"y+v=+mx+%2B+b\"$
\n" ); document.write( "and then plug in a point and our slope information to get
\n" ); document.write( " $\"8+=+1%2A6+%2B+b\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"b+=+2\"$
\n" ); document.write( "---
\n" ); document.write( "step 3 - write the equation as
\n" ); document.write( " $\"y+=+1x+%2B+2\"$ \n" ); document.write( "

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