document.write( "Question 65522: Graph each of the following equations.
\n" ); document.write( "(20) y = 3/4x+2\r
\n" ); document.write( "\n" ); document.write( "Graph each of the following equations, using the intercept method.
\n" ); document.write( "(28) 2x +3y = 6\r
\n" ); document.write( "\n" ); document.write( "Graph each of the following equations, by first solving for y.
\n" ); document.write( "(34) 2x-3y=12
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #46080 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Graph each of the following equations.
\n" ); document.write( "(20) y = 3/4x+2
\n" ); document.write( "This is in slope-intercept form: \"highlight%28y=mx%2Bb%29\", where m=slope and (0,b)=y-intercept.
\n" ); document.write( "In this case (0,b)=(0,2) Plot (0,2), it's at 2 on the y-axis.
\n" ); document.write( "From that point, use your slope, m=3/4 to plot another point. Slope=rise/run, so rise 3 and run right 4. Plot another point there, it should be (4,5).
\n" ); document.write( "Connect the points and it should look like this:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%283%2F4%29x%2B2%29\"
\n" ); document.write( ":
\n" ); document.write( "Graph each of the following equations, using the intercept method.
\n" ); document.write( "(28) 2x +3y = 6
\n" ); document.write( "To find the x-intercept, let y=0 and solve for x:
\n" ); document.write( "2x+3(0)=6
\n" ); document.write( "2x+0=6
\n" ); document.write( "2x=6
\n" ); document.write( "2x/2=6/2
\n" ); document.write( "x=3 Plot (3,0), it's at 3 on the x-axis.
\n" ); document.write( "To find the y-intercept, let x=0 and solve for y:
\n" ); document.write( "2(0)+3y=6
\n" ); document.write( "0+3y=6
\n" ); document.write( "3y=6
\n" ); document.write( "3y/3=6/3
\n" ); document.write( "y=2 Plot (0,2), it's at 2 on the y-axis.
\n" ); document.write( "Connect the points and you should have a line that looks like this:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%286-2x%29%2F3%29\"
\n" ); document.write( ":
\n" ); document.write( "Graph each of the following equations, by first solving for y.
\n" ); document.write( "(34) 2x-3y=12
\n" ); document.write( "-2x+2x-3y=-2x+12
\n" ); document.write( "0-3y=-2x+12
\n" ); document.write( "-3y=-2x+12
\n" ); document.write( "-3y/-3=-2x/-3+12/-3
\n" ); document.write( "y=(2/3)x-4
\n" ); document.write( "m=2/3 (0,b)=(0,-4)
\n" ); document.write( "Plot (0,-4), it's at -4 on the y-axis.
\n" ); document.write( "From there use the slope, m=2/3, rise 2, and run right 3 and plot a second point at what should be, (3,-2).
\n" ); document.write( "Connect the points and you should have a line that looks like this:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-4%29\"
\n" ); document.write( "Happy Calculating!!!!
\n" ); document.write( "
\n" );