document.write( "Question 147915: Graph the equations given below using the indicated method\r
\n" ); document.write( "\n" ); document.write( "x = -3\r
\n" ); document.write( "\n" ); document.write( "y = 2
\n" ); document.write( "

Algebra.Com's Answer #108288 by mangopeeler07(462)\"\" \"About 
You can put this solution on YOUR website!
x = -3\r
\n" ); document.write( "\n" ); document.write( "y = 2 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "These basically translate into x = -3 when y is whatever, or (-3,whatever) and
\n" ); document.write( "y = 2 when x is whatever, or (whatever,2). So you would graph each line normally. Let's do x=-3 first. All you have to do is make sure x=-3. Y can be any old thing. Let's see what it would look like:
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.
\n" ); document.write( "

    \n" ); document.write( "
  • X intercept: -3. X intercept is the intersection of the line with the x axis.

  • \n" ); document.write( "
  • Y intercept: not defined (the line IS vertical)

  • \n" ); document.write( "
  • Slope: not defined, can be thought of as infinite

  • \n" ); document.write( "
\"graph%28+500%2C+500%2C+-3-5%2C+-3%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A-3+%29+\"\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "See? Y can be anything as long as x=-3 is true.\r
\n" ); document.write( "\n" ); document.write( "Now let's do y=2. Again, same concept. As long as y=2, x can be any old thing. Let's see what it would look like:
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
This equation defines a horizontal line. There is no X intercept. Y intercept is \"2%2F1=2\"
\n" ); document.write( "\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+2+-+10%2C+2%2B10%2C+2%2F1+%29+\"

\n" ); document.write( "\n" ); document.write( "This time x can be anything as long as y=2 is true.\r
\n" ); document.write( "\n" ); document.write( "**Rule of thumb, if an equation is simply x=something or y=something, the line will just mirror the opposite axis, while running through the indicated point on the corresponding axis. In other words, the line x=-3 mirrors the y axis and runs through the given point -3 on the x axis, and the line y=2 mirrors the x axis and runs through the given point 2 on the y-axis. The graphs illustrate that nicely.
\n" ); document.write( "
\n" );