document.write( "Question 1023614: How would I be able to write an equation in slope-intercept form of the line passing through two given points? \r
\n" ); document.write( "\n" ); document.write( "(0,7) (1,9)\r
\n" ); document.write( "\n" ); document.write( "(0,3) (2,-1) \r
\n" ); document.write( "\n" ); document.write( "(5,2) (7,0)\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #639115 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Gradient = y2 - y1/x2 - x1
\n" ); document.write( "Gradient = 9 - 7/1 - 0
\n" ); document.write( "Gradient = 2/1
\n" ); document.write( "Gradient = 2
\n" ); document.write( "Using line equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "m = 2 (a,b) = (1,9)
\n" ); document.write( "y - 9 = 2(x - 1)
\n" ); document.write( "y - 9 = 2x - 2
\n" ); document.write( "y = 2x - 2 + 9
\n" ); document.write( "y = 2x + 7
\n" ); document.write( ".............
\n" ); document.write( "Gradient = y2 - y1/x2 - x1
\n" ); document.write( "Gradient = -1 -3/2 - 0
\n" ); document.write( "Gradient = -4/2
\n" ); document.write( "Gradient = -2
\n" ); document.write( "Using line equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "m = -2 (a,b) = (2,-1)
\n" ); document.write( "y - (-1) = -2(x - 2)
\n" ); document.write( "y + 1 = -2x + 4
\n" ); document.write( "y = -2x + 4 - 1
\n" ); document.write( "y = -2x + 3
\n" ); document.write( ".................
\n" ); document.write( "Gradient = y2 - y1/x2 - x1
\n" ); document.write( "Gradient = 0 - 2/7 - 5
\n" ); document.write( "Gradient = -2/2
\n" ); document.write( "Gradient = -1
\n" ); document.write( "Using line equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "m = -1 (a,b) = (5,2)
\n" ); document.write( "y - 2 = -1(x - 5)
\n" ); document.write( "y - 2 = -x + 5
\n" ); document.write( "y = -x + 5 + 2
\n" ); document.write( "y = -x + 7
\n" ); document.write( "..................
\n" ); document.write( "Hope this helps :-)
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