document.write( "Question 476529: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work. 3x-6y= -21 \n" ); document.write( "

Algebra.Com's Answer #326708 by ccs2011(207) $\"\"$ $\"About$

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$\"3x+-+6y+=+-21\"$
\n" ); document.write( "Easiest way to find intercepts is to set one variable equal to zero.
\n" ); document.write( "An intercept means point on the axis therefore either x or y must be zero.
\n" ); document.write( "For x-intercept, y=0.
\n" ); document.write( "For y-intercept, x =0.
\n" ); document.write( "Let y = 0. Solve for x.
\n" ); document.write( " $\"3x+-+6%280%29+=+-21\"$
\n" ); document.write( " $\"3x+-+0+=+-21\"$
\n" ); document.write( " $\"3x+=+-21\"$
\n" ); document.write( " $\"x+=+-7\"$
\n" ); document.write( "The x-intercept is the point (-7,0). x= -7, y = 0
\n" ); document.write( "Let x = 0. Solve for y.
\n" ); document.write( " $\"3%280%29+-+6y+=+-21\"$
\n" ); document.write( " $\"0+-+6y+=+-21\"$
\n" ); document.write( " $\"-6y+=+-21\"$
\n" ); document.write( " $\"y+=+%28-21%29%2F-6+=+7%2F2+=+3.5\"$
\n" ); document.write( "The y-intercept is the point (0,3.5). x= 0, y = 3.5
\n" ); document.write( "Now plot these 2 points and then draw a straight line through both points.
\n" ); document.write( "This line represents all possible points that satisfy the equation $\"3x+-+6y+=+-21\"$
\n" ); document.write( "here is what your graph should look like:
\n" ); document.write( " $\"graph%28200%2C200%2C-10%2C6%2C-2%2C6%2C0.5x%2B3.5%29\"$ \n" ); document.write( "

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