document.write( "Question 117633:
\n" ); document.write( "Write the equation of the line with x-intercept (–2, 0) and undefined slope.
\n" ); document.write( "

Algebra.Com's Answer #85646 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
The slope of a line is defined as the change in the value of y divided by the change in the
\n" ); document.write( "value of x. To have an undefined slope requires that the change in the value of x be zero. This
\n" ); document.write( "generates a division by zero in computing the slope, and since division by zero is not allowed in
\n" ); document.write( "algebra, this means the slope is undefined.
\n" ); document.write( ".
\n" ); document.write( "The equation for such a graph is of the form x = k where k is a constant that shows the
\n" ); document.write( "value of x no matter where you are on the vertical line.
\n" ); document.write( ".
\n" ); document.write( "For this problem one point on the line is given as (-2, 0) which says that at one point on the
\n" ); document.write( "line, the value of x equals -2. Since the line is vertical, whatever value you set y at, the
\n" ); document.write( "corresponding value of x equals -2.
\n" ); document.write( ".
\n" ); document.write( "As examples of this, the following points are all on the line: (-2, -100), (-2, -10), (-2,0),
\n" ); document.write( "(-2, 5), (-2, 45), and (-2, 200). You can tell if a point is on this line just by seeing if
\n" ); document.write( "that point has -2 as its value of x.
\n" ); document.write( ".
\n" ); document.write( "The line you are looking for is defined by the equation x = -2 and that is the answer to
\n" ); document.write( "this problem. The line is defined by the equation x = -2. This line is vertical and has an
\n" ); document.write( "undefined slope.
\n" ); document.write( ".
\n" ); document.write( "Hope this somewhat helps you to understand what is going on with this problem.
\n" ); document.write( ".
\n" ); document.write( "
\n" );