document.write( "Question 394758: Choose the equation in slope-intercept form for the line passing through each pair of points.
\n" ); document.write( "(–1, 3) and (2, –5) \n" ); document.write( "

Algebra.Com's Answer #280084 by josmiceli(19441) $\"\"$ $\"About$

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The slope will be (change in y)/(change in x)
\n" ); document.write( " $\"m+=+%28-5+-+3%29%2F%282+-+%28-1%29%29\"$
\n" ); document.write( " $\"m+=+-8%2F3\"$
\n" ); document.write( "The slope-intercept form is $\"y+=+mx+%2B+b\"$
\n" ); document.write( "So far I have $\"y+=+%28-8%2F3%29%2Ax+%2B+b\"$
\n" ); document.write( "If I substitute (-1,3) in the equation:
\n" ); document.write( " $\"3+=+%28-8%2F3%29%2A%28-1%29+%2B+b\"$
\n" ); document.write( " $\"3+=+8%2F3+%2B+b\"$
\n" ); document.write( " $\"b+=+9%2F3+-+8%2F3\"$
\n" ); document.write( " $\"b+=+1%2F3\"$
\n" ); document.write( "The equation is:
\n" ); document.write( " $\"y+=+%28-8%2F3%29%2Ax+%2B+1%2F3\"$
\n" ); document.write( "check:
\n" ); document.write( "does it go through (2,-5) ?
\n" ); document.write( " $\"-5+=+%28-8%2F3%29%2A2+%2B+1%2F3\"$
\n" ); document.write( " $\"-15+=+-16+%2B+1\"$
\n" ); document.write( " $\"-15+=+-15\"$
\n" ); document.write( "OK \n" ); document.write( "

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