document.write( "Question 367470: Find the equation of the line containing the given pair of points..\r
\n" ); document.write( "\n" ); document.write( "(-1,-5)(-4,-9) \n" ); document.write( "

Algebra.Com's Answer #261952 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can start with the slope-intercept form: $\"y+=+mx%2Bb\"$
\n" ); document.write( "Find the slope:
\n" ); document.write( " $\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"$ Substitute the x- and y-coordinates from the two given points: (-1,-5) and (-4,-9).
\n" ); document.write( " $\"m+=+%28-9-%28-5%29%29%2F%28-4-%28-1%29%29\"$ Evaluate.
\n" ); document.write( " $\"m+=+%28-9%2B5%29%2F%28-4%2B1%29\"$
\n" ); document.write( " $\"m+=+%28-4%29%2F-3\"$
\n" ); document.write( " $\"m+=+4%2F3\"$ So now you have:
\n" ); document.write( " $\"y+=+%284%2F3%29x%2Bb\"$ Substitute the x- and y-coordinate values from any one of the tw given points and solve for b.
\n" ); document.write( " $\"-5+=+%284%2F3%29%28-1%29%2Bb\"$ Evaluate.
\n" ); document.write( " $\"-5+=+-4%2F3+%2B+b\"$ Add $\"4%2F3\"$ to both sides.
\n" ); document.write( " $\"-11%2F3+=+b\"$ The final eaquation is:
\n" ); document.write( " $\"highlight%28y+=+%284%2F3%29x-11%2F3%29\"$ \n" ); document.write( "

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