document.write( "Question 503726: Trying to master slope intercept form, need to know how to solve for x intercept and y intercept in a problem similar to this : 8x + 7y = -5 what is the breakdown for solving for both x and y intercepts? \n" ); document.write( "

Algebra.Com's Answer #339387 by oberobic(2304) $\"\"$ $\"About$

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y = mx+b is in slope-intercept form
\n" ); document.write( "b = y-intercept
\n" ); document.write( "m = slope
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\n" ); document.write( "8x +7y = -5
\n" ); document.write( "7y = -8x -5
\n" ); document.write( "y = -8/7x - 5/7
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\n" ); document.write( "m = -8/7 = slope
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\n" ); document.write( "the y-intercept occurs where x=0
\n" ); document.write( "y = -8/7(0) -5/7
\n" ); document.write( "y = -5/7
\n" ); document.write( "y-intercept = (0,-5/7)
\n" ); document.write( ".
\n" ); document.write( "the x-intercept occurs where y=0
\n" ); document.write( "substitute and solve
\n" ); document.write( "0 = -8/7(x) -5/7
\n" ); document.write( "8/7x = -5/7
\n" ); document.write( "56 = -35x
\n" ); document.write( "x = -35/56
\n" ); document.write( "x = -7*5/7*8
\n" ); document.write( "x = -5/8
\n" ); document.write( "x-intercept = (-5/8,0)
\n" ); document.write( ".
\n" ); document.write( " $\"graph%28500%2C500%2C-2%2C2%2C-2%2C2%2C-8%2F7%2Ax-5%2F7%29\"$ \n" ); document.write( "

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