document.write( "Question 1203630: what is the slope intercept form of the equation of the line that passes through the point (2,5) and (-3,-1) \n" ); document.write( "
Algebra.Com's Answer #839334 by Theo(13342)\"\" \"About 
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slope intercept form of the equation of a straight lin is y = mx + b.
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept.\r
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\n" ); document.write( "\n" ); document.write( "your two points are (2,5) and (-3,-1)
\n" ); document.write( "let (2,5) be (x1,y1)
\n" ); document.write( "let (-3,-1) be (x2,y2)\r
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\n" ); document.write( "\n" ); document.write( "slope is equal to (y2-y1)/(x2-x1) = (-1-5)/(-3-2) = -6/-5 = 6/5.
\n" ); document.write( "straight line equation becomes y = 6/5 * x + b\r
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\n" ); document.write( "\n" ); document.write( "to find the value of b, replace x and y with the value from one of the points and solve.
\n" ); document.write( "i chose (2,5)
\n" ); document.write( "y = 6/5 * x + b becomes 5 = 6/5 * 2 + b which becomes 5 = 2.4 + b.
\n" ); document.write( "solve for b to get b = 5 - 2.4 = 2.6.
\n" ); document.write( "the value of b is 2.6 and the equation becomes:
\n" ); document.write( "y = 6/5 * x + 2.6
\n" ); document.write( "since 6/5 = 1.2, the equation can also be shown as y = 1.2 * x + 2.6\r
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\n" ); document.write( "\n" ); document.write( "replacing x with 2 gets y = 5
\n" ); document.write( "replacing x with -3 gets y = -1
\n" ); document.write( "this confirms the points are on the line.\r
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\n" ); document.write( "\n" ); document.write( "a graph of the equation shows the same, as shown below.\r
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