document.write( "Question 44900: Hi,\r
\n" ); document.write( "\n" ); document.write( "I could really use some help with this problem:\r
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\n" ); document.write( "\n" ); document.write( "Find the equation of the line whose x-intercept is 2/3 and whose y-intercept 3/2.\r
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\n" ); document.write( "\n" ); document.write( "Thanks in advance,
\n" ); document.write( "Lou \n" ); document.write( "
Algebra.Com's Answer #29754 by aaaaaaaa(138)\"\" \"About 
You can put this solution on YOUR website!
For any linear equation \"ax+%2B+by+=+c\", we have that the X-intercept is found by setting y to 0, getting \"ax=c\". From that, we conclude that we can say that \"x+=+c%2Fa\". The Y-intercept is, equally, \"c%2Fb\". We find the lcm of 2 and 3 (so we can equal them), that is 6. Therefore, c = 6.\r
\n" ); document.write( "\n" ); document.write( "We solve:\r
\n" ); document.write( "\n" ); document.write( "\"6%2Fa+=+2%2F3\"
\n" ); document.write( "\"a+=+9\"\r
\n" ); document.write( "\n" ); document.write( "\"6%2Fb+=+3%2F2\"
\n" ); document.write( "\"b+=+4\"\r
\n" ); document.write( "\n" ); document.write( "Checking:\r
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"9+x+%2B+4+y+=+6\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-9%2F4\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/9 = 0.666666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/4 = 1.5.
  • Slope is -9/4 = -2.25.
  • Equation in slope-intercept form: y=-2.25*x+1.5.
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