document.write( "Question 14687: What are the x- and y-intercepts for the following equation: 2x+3y=6. Tell how to find each intercept. \n" ); document.write( "

Algebra.Com's Answer #7365 by venugopalramana(3286) $\"\"$ $\"About$

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2x+3y=6 being a linear equation in x and y represents the graph of a straight line . we have to find its x and y intercepts ,that is where does the above graph cuts the X axis and Y axis.We can do it analytically by noting the fact that the graph intersects the X axis at a point where the point's Y coordinate is zero and ,similarly ,the graph intersects the Y axis at a point where the point's X coordinate is zero.Hence we get the X intercept by putting y=0 in the given equation and solving for x.Similarly we get the Y intercept by putting x=0 in the given equation and solving for y.
\n" ); document.write( " Substituting y=0 , we get
\n" ); document.write( " 2x+3*0=6
\n" ); document.write( " 2x=6
\n" ); document.write( " x=3 is the x intercept.
\n" ); document.write( " Substituting x=0 , we get
\n" ); document.write( " 2*0+3y = 6
\n" ); document.write( " 3y=6
\n" ); document.write( " y=2 is the y intercept.\r
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