document.write( "Question 1202654: Give three different points that lie on the line y=4x-5 by choosing different values for x.\r
\n" ); document.write( "\n" ); document.write( "Note that you must answer all three questions in order for you responses to be scored correctly.
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Algebra.Com's Answer #837619 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "We can pick any number to replace x.
\n" ); document.write( "The idea is to find paired y values so we can generate (x,y) point locations.\r
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\n" ); document.write( "\n" ); document.write( "Let's replace x with 0.
\n" ); document.write( "Use PEMDAS to simplify.
\n" ); document.write( "y = 4x-5
\n" ); document.write( "y = 4*0-5
\n" ); document.write( "y = 0-5
\n" ); document.write( "y = -5\r
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\n" ); document.write( "\n" ); document.write( "The input x = 0 leads to the output y = -5.
\n" ); document.write( "The point (x,y) = (0,-5) is on the line. It is the y intercept.\r
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\n" ); document.write( "\n" ); document.write( "Let's repeat similar steps for x = 1
\n" ); document.write( "y = 4x-5
\n" ); document.write( "y = 4*1-5
\n" ); document.write( "y = 4-5
\n" ); document.write( "y = -1
\n" ); document.write( "Therefore, the point (1,-1) is also on the line.\r
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\n" ); document.write( "\n" ); document.write( "Now let's try x = 2.
\n" ); document.write( "y = 4x-5
\n" ); document.write( "y = 4*2-5
\n" ); document.write( "y = 8-5
\n" ); document.write( "y = 3
\n" ); document.write( "The point (2,3) is on the line.\r
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\n" ); document.write( "\n" ); document.write( "These three points are on the line:
\n" ); document.write( "(0,-5)
\n" ); document.write( "(1,-1)
\n" ); document.write( "(2,3)
\n" ); document.write( "There are infinitely many other points, so feel free to explore alternative answers.\r
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\n" ); document.write( "\n" ); document.write( "Refer to the graph the tutor Edwin had made.\r
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\n" ); document.write( "\n" ); document.write( "Another approach:\r
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\n" ); document.write( "\n" ); document.write( "The equation y = 4x-5 matches up with y = mx+b known as slope-intercept form.\r
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\n" ); document.write( "\n" ); document.write( "m = 4 = 4/1 = slope
\n" ); document.write( "b = -5 = y intercept\r
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\n" ); document.write( "\n" ); document.write( "The y intercept is at (0,-5)\r
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\n" ); document.write( "\n" ); document.write( "Apply the movement pattern of \"up 4, right 1\" to go from (0,-5) to (1,-1).
\n" ); document.write( "This movement pattern is directly connected to the slope and nothing else.\r
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\n" ); document.write( "\n" ); document.write( "slope = rise/run = 4/1
\n" ); document.write( "rise = 4 = go up 4
\n" ); document.write( "run = 1 = go right 1\r
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\n" ); document.write( "\n" ); document.write( "Then from (1,-1) move \"up 4, right 1\" again to arrive at (2,3)\r
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\n" ); document.write( "\n" ); document.write( "Keep this movement pattern going to go from (2,3) to (3,7)
\n" ); document.write( "And so on.
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