document.write( "Question 216340: How do I find the slope of 5x-2y=10? \n" ); document.write( "
Algebra.Com's Answer #163408 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
How do I find the slope of 5x-2y=10?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. To find the slope of this equation in standard form you need to change it to slope intercept form given as y=mx+b where m is the slope and the y-intercept is b when x=0 and at point (0,b).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Take equation \"5x-2y=10\" in standard form and put in slope-intercept form\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x-2y=10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add 2y-10 to both sides of the equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x-2y%2B2y-10=10%2B2y-10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x-10=2y\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide 2 to both sides of the equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x%2F2-10%2F2=2y%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x%2F2-5=y\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=5x%2F2-5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER: The equation \"y=5x%2F2-5\" is in slope-intercept form where the slope m=5/2 and slope-intercept b=-5 at (0,-5).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The graph of this line is shown below. Note the slope m=5/2 (which means 2 horizontal steps to the right will result in 5 vertical steps up). Also note the y-intercept b=-5 at x=0 at point (0,-5)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"graph%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+5x%2F2-5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at \r
\n" ); document.write( "\n" ); document.write( "john@e-liteworks.com for your future math needs.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );