document.write( "Question 426978: Write the slope-intercept equation for the line with slope 1/3 and y-intercept (0, -6) and graph the line. Please show all of your work. \n" ); document.write( "

Algebra.Com's Answer #296943 by Gogonati(855) $\"\"$ $\"About$

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Solution:As you know the slope-intercept equation is given by formula:\r
\n" ); document.write( "\n" ); document.write( " $\"Y-Y1=m%28X-X1%29\"$ , m is the slope and m=1/3, while (X1,Y1) are the coordinates (0,-6), thus, our equation is:\r
\n" ); document.write( "\n" ); document.write( " $\"%28y-%28-6%29%29=%281%2F3%29%2A%28x-0%29\"$ , simplify this equation\r
\n" ); document.write( "\n" ); document.write( " $\"y%2B6=%281%2F3%29%2Ax\"$ , multiply both sides by 3\r
\n" ); document.write( "\n" ); document.write( " $\"+3y%2B18=x\"$ , write it in standard form.\r
\n" ); document.write( "\n" ); document.write( " $\"x-3y=18\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28600%2C+600%2C+-5%2C+20%2C+-10%2C+5%2C+0.3333x-6%29\"$ \n" ); document.write( "

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