document.write( "Question 71394: Find the equation of the line going through the points (-6,7) and (2,2).\r
\n" ); document.write( "\n" ); document.write( "Please show work and solution.
\n" ); document.write( "

Algebra.Com's Answer #51093 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find the equation of the line going through the points (-6,7) and (2,2).
\n" ); document.write( "Please show work and solution.
\n" ); document.write( ":
\n" ); document.write( "Assign the given coordinates as follows:
\n" ); document.write( "x1 = -6, y1 = 7; x2 = 2, y2 = 2
\n" ); document.write( ":
\n" ); document.write( "Use the slope formula: m = (y2 - y1)/(x2 - x1)
\n" ); document.write( ":
\n" ); document.write( "m = (2 - 7)/(2 -(-6)) = -5/8 is the slope
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope formula: y - y1 = m(x - x1)
\n" ); document.write( ":
\n" ); document.write( "y - 7 = -(5/8)(x - (-6))
\n" ); document.write( "y - 7 = -5x/8 + (-5/8)6
\n" ); document.write( "y - 7 = -5x/8 - (30/8)
\n" ); document.write( "y = -5x/8 - (30/8) + 7
\n" ); document.write( "y = -5x/8 - (30/8) + (56/8)
\n" ); document.write( "y = -5x/8 + (26/8)
\n" ); document.write( ":
\n" ); document.write( "In decimals the equation is:
\n" ); document.write( "y = -.625x + 3.25
\n" ); document.write( ":
\n" ); document.write( "The graph would look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-8%2C+8%2C+-6%2C+8%2C+-.625x+%2B+3.25%29+\"
\n" ); document.write( ":
\n" ); document.write( "Substitute the given values for x and confirm that they correspond to the
\n" ); document.write( "given values for y
\n" ); document.write( "
\n" );