document.write( "Question 215984This question is from textbook
\n" ); document.write( ": derive the slope intercept form of a linear equation from the slope formula using (0,b) as the coordinates of the point where the line crosses the y axis and an arbitary point (x,y) \n" ); document.write( "
Algebra.Com's Answer #163136 by drj(1380)\"\" \"About 
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Derive the slope intercept form of a linear equation from the slope formula using (0,b) as the coordinates of the point where the line crosses the y axis and an arbitary point (x,y)\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept b at point (0,b).\r
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\n" ); document.write( "\n" ); document.write( "Step 2. The slope formula is given for two points P(x1,y1) and Q(x2,y2) as\r
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\n" ); document.write( "\n" ); document.write( "\"m=%28y2-y1%29%2F%28x2-x1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Now let x2=x, y2=y, x1=0, and y1=b and substitute in the slope formula in Step 2.\r
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\n" ); document.write( "\n" ); document.write( "\"m=%28y2-y1%29%2F%28x2-x1%29=%28y-b%29%2F%28x-0%29=%28y-b%29%2Fx\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply x to both sides of the equation to get rid of denominator\r
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\n" ); document.write( "\n" ); document.write( "\"mx=x%28y-b%29%2Fx\"\r
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\n" ); document.write( "\n" ); document.write( "\"mx=y-b\"\r
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\n" ); document.write( "\n" ); document.write( "Now add b to both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"mx%2Bb=y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" ANSWER\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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