document.write( "Question 173829: Graph the line with slope -2/3 passong through the point (-5,5). I cannot do this problem. I have tried and when it comes to math I can't add 3 + 3. The negatives are the worst along with fractions. I just don't understand it.Can anybody figure this out and show me how? Ty in advance. Judy \n" ); document.write( "
Algebra.Com's Answer #128702 by KnightOwlTutor(293)\"\" \"About 
You can put this solution on YOUR website!
The general equation for a line is y=mx+c\r
\n" ); document.write( "\n" ); document.write( "m= slope\r
\n" ); document.write( "\n" ); document.write( "Replace m with -2/3 y=-2/3x +c\r
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\n" ); document.write( "\n" ); document.write( "Plug in the value for the point\r
\n" ); document.write( "\n" ); document.write( "5=-2/3(-5) +c\r
\n" ); document.write( "\n" ); document.write( "We are trying to find the y intercept c\r
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\n" ); document.write( "\n" ); document.write( "5=10/3+c\r
\n" ); document.write( "\n" ); document.write( "Subract 10/3 to both sides\r
\n" ); document.write( "\n" ); document.write( "15/3 -10/3= c\r
\n" ); document.write( "\n" ); document.write( "5/3= c\r
\n" ); document.write( "\n" ); document.write( "Let's double check that this is the correct linear equation\r
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\n" ); document.write( "\n" ); document.write( "5=10/3 +5/3\r
\n" ); document.write( "\n" ); document.write( "Therefore the eqation is y=-2/3x+5/3
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"2+x+%2B+3+y+=+5\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-2%2F3\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 5/2 = 2.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/3 = 1.66666666666667.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+1.66666666666667.
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