document.write( "Question 101505: Hello, \r
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\n" ); document.write( "\n" ); document.write( "I need help writing an equation in slope-intercept form for this problem:\r
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\n" ); document.write( "\n" ); document.write( " slope=1/3 and passes through (-2,8)\r
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\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #74449 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Slope=1/3 and Passes through(-2,8)\r
\n" ); document.write( "\n" ); document.write( "Start with the point-slope form and move it around to get the slope-intercept form.
\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\" Point-slope form of a linear equation.
\n" ); document.write( "\"y=m%2Ax%2Bb%29\" Slope-intercept form of a linear equation.
\n" ); document.write( "Start with the point-slope form.
\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"
\n" ); document.write( "\"y-8=%281%2F3%29%2A%28x-%28-2%29%29\" Plug in the value with the information given.
\n" ); document.write( "\"y-8=%281%2F3%29%2A%28x%2B2%29%29\" Simplify.
\n" ); document.write( "\"y-8=%281%2F3%29%2A%28x%29%2B%281%2F3%29%2A%282%29%29\" Distributive property.
\n" ); document.write( "\"y-cross%288%29%2Bcross%288%29=%281%2F3%29%2A%28x%29%2B%282%2F3%29%2B8%29\" Additive inverse of (-8).
\n" ); document.write( "\"y=%281%2F3%29%2A%28x%29%2B%282%2F3%29%2B24%2F3%29\" To add fractions, you need the same denominator.
\n" ); document.write( "\"y=%281%2F3%29%2A%28x%29%2B%2826%2F3%29\" Slope-intercept form of a linear equation.
\n" ); document.write( "Slope = 1/3
\n" ); document.write( "Intercept = 26/3
\n" ); document.write( "Verify your answer with your original point, (-2,8).
\n" ); document.write( "\"y=%281%2F3%29%2A%28x%29%2B%2826%2F3%29\"
\n" ); document.write( "\"8=%281%2F3%29%2A%28-2%29%2B%2826%2F3%29\"
\n" ); document.write( "\"8=-%282%2F3%29%2B%2826%2F3%29\"
\n" ); document.write( "\"8=%2824%2F3%29\"
\n" ); document.write( "\"8=8\"
\n" ); document.write( "Good answer.
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