document.write( "Question 79417: Please explain to me how to sketch the graph of y=5+7x. How do you figure out the numbers in the table when you are constructing a table of values? Please explain step by step PLEASE. Thank you \n" ); document.write( "
Algebra.Com's Answer #56996 by ankor@dixie-net.com(22740)\"\" \"About 
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Please explain to me how to sketch the graph of y=5+7x. How do you figure out the numbers in the table when you are constructing a table of values?
\n" ); document.write( ":
\n" ); document.write( "Usually we write linear equation like this:
\n" ); document.write( "y = 7x + 5
\n" ); document.write( ":
\n" ); document.write( "To construct a table we choose several values for x and solve for y:
\n" ); document.write( "From -3 to + 3 is a good start:
\n" ); document.write( ":
\n" ); document.write( "That table would start out like this:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-3 |
\n" ); document.write( "-2 |
\n" ); document.write( "-1 |
\n" ); document.write( "0 |
\n" ); document.write( "+1 |
\n" ); document.write( "+2 |
\n" ); document.write( "+3 |
\n" ); document.write( ":
\n" ); document.write( "We want to fill in the values for y
\n" ); document.write( ":
\n" ); document.write( "Our equation (in case you forgot) is y = 7x + 5
\n" ); document.write( "Substitute our 1st value, -3 for x and find y
\n" ); document.write( "y = 7(-3) + 5
\n" ); document.write( "y = -21 + 5
\n" ); document.write( "y = -16
\n" ); document.write( ":
\n" ); document.write( "Now the table looks like this:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-3 |-16
\n" ); document.write( "-2 |
\n" ); document.write( "-1 |
\n" ); document.write( "0 |
\n" ); document.write( "+1 |
\n" ); document.write( "+2 |
\n" ); document.write( "+3 |
\n" ); document.write( ":
\n" ); document.write( "Substitute the 2nd valu, -2 for x and find y
\n" ); document.write( "y = 7)-2) + 5
\n" ); document.write( "y = -14 + 5
\n" ); document.write( "y = -9
\n" ); document.write( ":
\n" ); document.write( "Now the table looks like this:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-3 |-16
\n" ); document.write( "-2 |-9
\n" ); document.write( "-1 |
\n" ); document.write( "0 |
\n" ); document.write( "+1 |
\n" ); document.write( "+2 |
\n" ); document.write( "+3 |
\n" ); document.write( ":
\n" ); document.write( "Find y for each value of x and your table should look like this:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-3 |-16
\n" ); document.write( "-2 |-9
\n" ); document.write( "-1 |-2
\n" ); document.write( "0 |+5
\n" ); document.write( "+1 |+12
\n" ); document.write( "+2 |+19
\n" ); document.write( "+3 |+26
\n" ); document.write( ":
\n" ); document.write( "On a standard graph with x axis from -6 to +6 and y axis from -16 to +16
\n" ); document.write( "plot each value in the table and join the points. It should be a straight
\n" ); document.write( "slanted line which looks like this
\n" ); document.write( " \"+graph%28+300%2C+200%2C+-6%2C+6%2C+-16%2C+16%2C+7x+%2B+5%29+\"
\n" ); document.write( ":
\n" ); document.write( "You have probably noticed that a linear graph like this really only needs
\n" ); document.write( "two points joined by a straight line to include all the rest of the points
\n" ); document.write( "I thought it would be good practice to plot several like we did here.
\n" ); document.write( ":
\n" ); document.write( "Do you comprehend this now? Any questions? \n" ); document.write( "
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