document.write( "Question 215599This question is from textbook Algebra for college students
\n" ); document.write( ": Hello. I have a problem that I can graph and get the answer, but can not figure out the equation to get the answer. The question:\r
\n" ); document.write( "\n" ); document.write( "If a lone passes through (5,2) and has slope 2/3, then what is the value of y on this line when x=8, x=11, and x=12.\r
\n" ); document.write( "\n" ); document.write( "I know by graphing that it is (8,4),(11,6), and (12,6 3/4), but need to show work and also ensure that the estimated 6 3/4 is correct. That was just from eye balling the point on the graph were y intercepts x=12.\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance.
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Algebra.Com's Answer #162898 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
If a line passes through (5,2) and has slope 2/3, then what is the value of y on this line when x=8, x=11, and x=12.
\n" ); document.write( ":
\n" ); document.write( "Write an equation using the point/slope formula: y - y1 = m(x + x1)
\n" ); document.write( "assign the given values as follows:
\n" ); document.write( "x1 = 5; y1 =2; m = 2/3
\n" ); document.write( ":
\n" ); document.write( "y - 2 = \"2%2F3\"(x - 5)
\n" ); document.write( ":
\n" ); document.write( "y - 2 = \"2%2F3\"x - \"2%2F3\"*5
\n" ); document.write( ":
\n" ); document.write( "y - 2 = \"2%2F3\"x - \"10%2F3\"
\n" ); document.write( ":
\n" ); document.write( "y = \"2%2F3\"x - \"10%2F3\" + 2
\n" ); document.write( ":
\n" ); document.write( "y = \"2%2F3\"x - \"10%2F3\" + \"6%2F3\"
\n" ); document.write( ":
\n" ); document.write( "y = \"2%2F3\"x - \"4%2F3\" is the equation
\n" ); document.write( ":
\n" ); document.write( "x = 8
\n" ); document.write( "y = \"2%2F3\"(8) - \"4%2F3\"
\n" ); document.write( "y = \"16%2F3\" - \"4%2F3\"
\n" ); document.write( "y = \"12%2F3\"
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( "x = 11
\n" ); document.write( "y = \"2%2F3\"(11) - \"4%2F3\"
\n" ); document.write( "y = \"22%2F3\" - \"4%2F3\"
\n" ); document.write( "y = \"18%2F3\"
\n" ); document.write( "y = 6
\n" ); document.write( ":
\n" ); document.write( "You can do x = 12
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