document.write( "Question 423242: what are the x and y intercepts of the line defined by -8x + 6y = -48 \n" ); document.write( "

Algebra.Com's Answer #295268 by oberobic(2304) $\"\"$ $\"About$

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First, get the equation into slope-intercept form.
\n" ); document.write( "-8x +6y = -48
\n" ); document.write( "Add 8x to both sides.
\n" ); document.write( "6y = 8x -48
\n" ); document.write( "Divide both sides by 6
\n" ); document.write( "y = (8/6)x - 8
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\n" ); document.write( "The x-intercept is where y=0, so substitute y=0.
\n" ); document.write( "0 = (8/6)x - 8
\n" ); document.write( "Add 8 to both sides.
\n" ); document.write( "8 = (8/6)x
\n" ); document.write( "(8/6)x = 8
\n" ); document.write( "Multiply both sides by 6.
\n" ); document.write( "8x = 48
\n" ); document.write( "Divide both sides by 8
\n" ); document.write( "x = 6
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\n" ); document.write( "So the x=intercept is (6,0).
\n" ); document.write( ".
\n" ); document.write( "The y-intercept is where x=0.
\n" ); document.write( ".
\n" ); document.write( "y = (8/6)x - 8
\n" ); document.write( "Substitute x=0
\n" ); document.write( "y = -8
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\n" ); document.write( "So the y-intercept is (0,-8).
\n" ); document.write( ".
\n" ); document.write( "Always check your answer.
\n" ); document.write( "In this case a graph is useful.
\n" ); document.write( ".
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%288%2F6%29%2Ax-8%29\"$
\n" ); document.write( ".
\n" ); document.write( "Looks good.
\n" ); document.write( "Done.
\n" ); document.write( ". \n" ); document.write( "

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