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 #511966 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
the standard form for a line is y = mx + b where m is the slope and b is the y axis intercept.
\n" ); document.write( "the slope is the change in y divided by the change in x
\n" ); document.write( "note that we are given two points on the line, so we can calculate the slope
\n" ); document.write( "the two points are (-7,9) and (6,12), then
\n" ); document.write( "m = (12 - 9) / (6 - -7) = 3/13, therefore
\n" ); document.write( "y = (3/13)x + b
\n" ); document.write( "now we can substitute for x and y using the point (6,12)
\n" ); document.write( "12 = (3/13)*6 + b
\n" ); document.write( "12 = 18/13 +b
\n" ); document.write( "b = 12 - 18/13 = (156/13) - (18/13) = 138/13
\n" ); document.write( "y = (3/13)x + 138/13
\n" ); document.write( "the slope is 3/13 and y intercept is 10 8/13
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