document.write( "Question 216122: Find the equation of each line in y=mx+b form (-3,5) slope 1/5 \n" ); document.write( "
Algebra.Com's Answer #163225 by drj(1380)\"\" \"About 
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Find the equation of each line in y=mx+b form (-3,5) slope 1/5\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The equation of the line given as y=mx+b is the slope-intercept form where m is the slope at b is the y-intercept when x=0 or at point (0,b).\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Since the slope is \"m=1%2F5\", we have \"y=1%2Ax%2F5%2Bb\". To get the y-intercept b, substitute x=-3 and y=5 since this line passes through the point (-3,5).\r
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\n" ); document.write( "\n" ); document.write( "\"5=-3%2F5%2Bb\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply 5 to both sides to get rid of denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"5%2A5=-3%2B5b\"\r
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\n" ); document.write( "\n" ); document.write( "\"25=-3%2B5b\"\r
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\n" ); document.write( "\n" ); document.write( "Add 3 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"25%2B3=-3%2B5b%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "\"28=5b\"\r
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\n" ); document.write( "\n" ); document.write( "Divide 5 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"28%2F5=5b%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=28%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER: The equation is \"y=x%2F5%2B28%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "The graph is shown below. Note the y-intercept at x=0 and the slope of 1/5 which means five units to the left, then one unit up.\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F5%2B28%2F5+%29\"\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 \r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r
\n" ); document.write( "\n" ); document.write( "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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