document.write( "Question 850135: I have this problem I need to figure out and I'm having a problem understanding the example. I need a STEP BY STEP(meaning no steps skipped)to see how the one would arrive at the answer. This is not the actual problem but the example to the problem I need to do. I need to find the answer to both the slope and y-intercept.\r
\n" ); document.write( "\n" ); document.write( "Give the slope and y-intercept for the line that passes through (-7,9) and (6,12).\r
\n" ); document.write( "\n" ); document.write( "Please explain it as if you were to explain it to a 5 year old.\r
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Algebra.Com's Answer #512031 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Give the slope and y-intercept for the line that passes
\n" ); document.write( "through (-7,9) and (6,12).
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\n" ); document.write( "Form: y = mx + b
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept
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\n" ); document.write( "slope = (change in y)/(corresponding change in x) = (12-9)/(6--7) = 3/13
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\n" ); document.write( "Using x = 6, y = 12, m = 3/13, solve for \"b\":
\n" ); document.write( "12 = (3/13)6 + b
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\n" ); document.write( "12 = (18/13) + b
\n" ); document.write( "Multiply thru by 13 to get:
\n" ); document.write( "13*12 = 18 + 13b
\n" ); document.write( "156 = 18 + 13b
\n" ); document.write( "Subtract 18 from both sides
\n" ); document.write( "13b = 138
\n" ); document.write( "Divide both sides by 13 to get:
\n" ); document.write( "b = 10.62 when rounded to the hundreth's place
\n" ); document.write( "b is the y- intercept
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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