document.write( "Question 19192: I have a problem that has (1,5) and (2,7) i have to figure out what the equation is for the slope-intercept form. \n" ); document.write( "
Algebra.Com's Answer #9241 by Earlsdon(6294)\"\" \"About 
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Recall that the slope-intercept form of the equation for a line is: y = mx+b where m is the slope and b is the y-intercept.\r
\n" ); document.write( "\n" ); document.write( "First, find the slope using the two given points:
\n" ); document.write( " \"m+=+%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "(x1, y1) = (1, 5)
\n" ); document.write( "(x2, y2) = (2, 7)\r
\n" ); document.write( "\n" ); document.write( "\"m+=+%287-5%29%2F%282-1%29\"
\n" ); document.write( "\"m+=+2%2F1\"
\n" ); document.write( "\"m+=+2\" So now you can write: \"y+=+2x+%2B+b\" but you need to find the value of b, the y-intercept.
\n" ); document.write( "Use the x- and y-coordintes of any one of the two given points, substitute these into the above equation and solve for b. Using the first point (1, 5),\r
\n" ); document.write( "\n" ); document.write( "\"5+=+2%281%29+%2B+b\" Subtract 2 from both sides.
\n" ); document.write( "\"3+=+b\"\r
\n" ); document.write( "\n" ); document.write( "Now you can write the final equation:\r
\n" ); document.write( "\n" ); document.write( "\"y+=+2x+%2B+3\"
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