document.write( "Question 510120: If x=4, how do you find the slope and y-intercept? \n" ); document.write( "

Algebra.Com's Answer #341711 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
If x=4 there is no slope and there is no y-intercept.
\n" ); document.write( ".
\n" ); document.write( "x=4 defines a vertical line that goes through x=4.
\n" ); document.write( ".
\n" ); document.write( "y can take on any value from -infinity to +infinity, but there is no defined slope
\n" ); document.write( ".
\n" ); document.write( "Recall the slope = change in y / change in x
\n" ); document.write( "There is no change in x, so we are attempting to divide by 0.
\n" ); document.write( "Dividing by zero is undefined.
\n" ); document.write( ".
\n" ); document.write( "In slope-intercept form: y = mx+b,
\n" ); document.write( "the y-intercept is 'b', defining the point (0,b).
\n" ); document.write( ".
\n" ); document.write( "But we're told x=4, so there is no point where x=0.
\n" ); document.write( ".
\n" ); document.write( "Done.
\n" ); document.write( " \n" ); document.write( "

\n" );