document.write( "Question 142265: write an equation in slope-intercept form fr a line that passes through the given pair of points.
\n" ); document.write( "(9,-5)(1,-8) \n" ); document.write( "

Algebra.Com's Answer #103565 by checkley77(12844) $\"\"$ $\"About$

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(9,-5)(1,-8)
\n" ); document.write( "First we find he slope (m):
\n" ); document.write( "(y2-y1)/(x2-x1)=(-8+5)/(1-9)=-3/-8=3/8
\n" ); document.write( "Now replace the X &Y terms with one set of points and solve for the y intercept (b).
\n" ); document.write( "Y=mX+b
\n" ); document.write( "-5=3/8*9+b
\n" ); document.write( "b=-5-27/8
\n" ); document.write( "b=(-40-27)/8
\n" ); document.write( "b=-67/8 is the y intercept.
\n" ); document.write( "So the line equation is:
\n" ); document.write( "y=3x/8-67/8
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+20%2C+-10%2C+10%2C3x%2F8+-67%2F8%29+\"$ (graph 300x200 pixels, x from -6 to 20, y from -10 to 10,3x/8 -67/8). \r
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