document.write( "Question 536193: find the valueof r so the line that passesthough each pair of points has the given slopee. (6,-2),(r,-6),m=4 \n" ); document.write( "

Algebra.Com's Answer #352181 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
m = change in y / change in x
\n" ); document.write( "m = 4\r
\n" ); document.write( "\n" ); document.write( "m = (-2-(-6) / (6-r)
\n" ); document.write( "4 = 4/(6-r)
\n" ); document.write( ".
\n" ); document.write( "cross multiply
\n" ); document.write( ".
\n" ); document.write( "4(6-r) = 4
\n" ); document.write( "24 -4r = 4
\n" ); document.write( "-4r = -20
\n" ); document.write( "r = 5
\n" ); document.write( ".
\n" ); document.write( "y = mx +b
\n" ); document.write( ".
\n" ); document.write( "We know m = 4, so
\n" ); document.write( ".
\n" ); document.write( "y = 4x + b
\n" ); document.write( ".
\n" ); document.write( "Use the point (6,-2) to find 'b'.
\n" ); document.write( "-2 = 4*6 + b
\n" ); document.write( "b = -26
\n" ); document.write( ".
\n" ); document.write( "y = 4x -26
\n" ); document.write( ".
\n" ); document.write( "Use the other point (5,-6) to check the solution.
\n" ); document.write( "-6 = 4*5 -26
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( " $\"+graph%28500%2C500%2C-15%2C15%2C-30%2C30%2C4%2Ax-26%29+\"$ \n" ); document.write( "

\n" );