document.write( "Question 537572: I am having difficulty finding the points for graphing equations. In other words, I need the points for the variables x and y for these equations so I can lot the points on a graph. I do not understand the processes of finding the points. Would you give an example of all the steps for each equation giving the points to plot. I am doing these equations for practice because I have a quiz Wednesday. equations: y = 3x - 2, 6x - 3 = x - y, y = |X| - 2 and 4x + 2 = 5x + 4 \n" ); document.write( "
Algebra.Com's Answer #352927 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The x-axis is horizontal and the y-axis is vertical
\n" ); document.write( "When you have an equation \"+y+=+f%28x%29+\", like \"+y+=+2x+%2B+1+\",
\n" ); document.write( "think of it as passing though the points
\n" ); document.write( "(x1,y1), (x2,y2), (x3,y3), (x4,y4) . . . etc.
\n" ); document.write( "For any of these points, if I know x I can find y
\n" ); document.write( "If I know y, I can find x.
\n" ); document.write( "Suppose (x1,y1) = (22,y1)
\n" ); document.write( "Just replace x with 22, and you find y1:
\n" ); document.write( "\"+y1+=+2%2A22+%2B+1+\"
\n" ); document.write( "\"+y1+=+45+\", so the point is (22,45)
\n" ); document.write( "-----------------------------
\n" ); document.write( "Two special points are (0,y1) and (x1,0)
\n" ); document.write( "These are called intercepts because they lie on the
\n" ); document.write( "vertical and horizontal axes
\n" ); document.write( "If I have (0,y1), I can find y1
\n" ); document.write( "\"+y1+=+2%2A0+%2B+1+\"
\n" ); document.write( "\"+y1+=+1+\", so the point is (0,1)
\n" ); document.write( "----------------------------
\n" ); document.write( "You can turn the problem around and say
\n" ); document.write( "\" Does the point (9,11) lie on this equation?\"
\n" ); document.write( "To find out:
\n" ); document.write( "\"+y+=+2x+%2B+1+\"
\n" ); document.write( "\"+11++=+2%2A9+%2B+1+\"
\n" ); document.write( "\"+11+=+19+\"
\n" ); document.write( "This means the point does not lie on the equation
\n" ); document.write( "Does the point (43, 87) lie on the equation?
\n" ); document.write( "\"+87+=+2%2A43+%2B+1+\"
\n" ); document.write( "\"+87+=+86+%2B+1+\"
\n" ); document.write( "\"+87+=+87+\"
\n" ); document.write( "Yes, this point is on the equation
\n" ); document.write( "---------------
\n" ); document.write( "All you need is 2 points to plot a straight line, but
\n" ); document.write( "you can find as many points as you want, and they
\n" ); document.write( "will all lie on the line.
\n" ); document.write( "---------------
\n" ); document.write( "I doesn't matter how the equation is written, you
\n" ); document.write( "just need x's and y's
\n" ); document.write( "Suppose I have
\n" ); document.write( "\"+3%2A%28+x+%2B+1%29+-+4y+=+2x+\"
\n" ); document.write( "I have (3,y1). What is y1?
\n" ); document.write( "\"+3%2A%28+3+%2B+1+%29+-+4y+=+2%2A3+\"
\n" ); document.write( "\"+3%2A4+-+4y+=+6+\"
\n" ); document.write( "\"+-4y+=+6+-+12+\"
\n" ); document.write( "\"+-4y+=+-8+\"
\n" ); document.write( "\"+y+=+2+\", so my point is (3,2)
\n" ); document.write( "---------------
\n" ); document.write( "Hope this helps \n" ); document.write( "
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