document.write( "Question 405744: find the intercepts and graph line\r
\n" ); document.write( "\n" ); document.write( "5x-3y=-15 \n" ); document.write( "
Algebra.Com's Answer #286533 by graphmatics(170)\"\" \"About 
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To find the x intercept set y = 0 and get
\n" ); document.write( "5x-(3)(0)=-15
\n" ); document.write( "5x=-15
\n" ); document.write( "(5x)(1/5)=(-15)(1/5)
\n" ); document.write( "x = -3
\n" ); document.write( "so the x intercept is (-3,0)
\n" ); document.write( "to find the y intercept set x=0 and get
\n" ); document.write( "(5)(0)-3y = -15
\n" ); document.write( "-3y = -15
\n" ); document.write( "(-3y)(-1/3) = (-15)(-1/3)
\n" ); document.write( "y = 5
\n" ); document.write( "so the y intercept is (0,5)\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"5+x+%2B+-3+y+=+-15\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-5%2F-3\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -15/5 = -3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -15/-3 = 5.
  • Slope is -5/-3 = 1.66666666666667.
  • Equation in slope-intercept form: y=1.66666666666667*x+5.
\"graph%28+500%2C+500%2C+-3-8%2C+-3%2B8%2C+5-8%2C+5%2B8%2C+1.66666666666667%2Ax%2B5+%29+\"\n" ); document.write( "
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