document.write( "Question 851140: Find the x- and y-intercept of y=6x+5? \n" ); document.write( "
Algebra.Com's Answer #512602 by ramkikk66(644)\"\" \"About 
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document.write( "\"y+=+6%2Ax+%2B+5\"\r\n" );
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document.write( "y intercept is the point at which this line cuts the y axis. At that point, x\r\n" );
document.write( "will be equal to 0. Substituting for x in the above equation as 0, we get \r\n" );
document.write( "\"y+=+6%2A0+%2B+5+=+5\". Hence the x intercept coordinates are (0,5).\r\n" );
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document.write( "Similarly:\r\n" );
document.write( "x intercept is the point at which this line cuts the x axis. At that point, y \r\n" );
document.write( "will be equal to 0. Substituting for y in the above equation as 0, we get \r\n" );
document.write( "\"0+=+6%2Ax+%2B+5%7D%7D.+Or+%7B%7B%7Bx+=+-5%2F6\" Hence the x intercept coordinates are \r\n" );
document.write( "(-5/6,0).\r\n" );
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document.write( "The graph below shows the x and y intercepts.\r\n" );
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"6+x+%2B+-1+y+=+-5\" describes a sloping line. For any \r\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-6%2F-1\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -5/6 = -0.833333333333333.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -5/-1 = 5.
  • Slope is -6/-1 = 6.
  • Equation in slope-intercept form: y=6*x+5.
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