document.write( "Question 699437: how do i graph -3x+2y=2 using y-intercept (slope) \n" ); document.write( "
Algebra.Com's Answer #431360 by reviewermath(1029)\"\" \"About 
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"-3+x+%2B+2+y+=+2\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+--3%2F2\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 2/-3 = -0.666666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/2 = 1.
  • Slope is --3/2 = 1.5.
  • Equation in slope-intercept form: y=1.5*x+1.
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