document.write( "Question 144107: what is the equation of a line that passes through the points (4,1) and (3,-2) \n" ); document.write( "

Algebra.Com's Answer #104912 by checkley77(12844) $\"\"$ $\"About$

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(4,1) and (3,-2)
\n" ); document.write( "FIRST WE FIND THE SLOPE (m) =(Y2-Y1)/(X2-X1)=(-2-1)/(3-4)=-3/-1=3
\n" ); document.write( "NOW WE REPLACE THEX & Y TERMS IN THE LINE EQUATION [Y=mX+b] WITH ONE SET OF POINTS & SOLVE FOR THE Y INTERCEPT (b).
\n" ); document.write( "1=3*4+b
\n" ); document.write( "1=12+b
\n" ); document.write( "b=1-12
\n" ); document.write( "b=-11 THE Y INTERCEPT.
\n" ); document.write( "THUS THE EQUATION IS:
\n" ); document.write( "Y=3X-11
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x+-11%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -11). \r
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