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You can put this solution on YOUR website!
The first tutor simply said \"use the formula for slope\". Not too helpful....
\n" ); document.write( "And then the second tutor used the formula for slope and did a lot of work to get the answer.
\n" ); document.write( "I would suggest that you will appreciate the mathematics more if, instead of plugging numbers into a formula for slope, you use your UNDERSTANDING of what slope means.
\n" ); document.write( "And if you have that understanding, you will get to the answer with much less work than what the second tutor showed.
\n" ); document.write( "The slope of a line is the measure of how far you move up or down, compared to how far you move from left to right. So I always picture in my mind (or on paper, if necessary) moving from left to right from one of the given points to the other.
\n" ); document.write( "In this problem, the x values of the two points are -5 and 1. From -5 to +1 is a distance of 6; so I moved 6 units to the right in going from the first point to the second.
\n" ); document.write( "The problem tells us the slope is 7/6. That means for each 6 we move to the right in x, we move up 7 in y.
\n" ); document.write( "And we DID move 6 units to the right going from the first point to the second; so we must have gone up 7.
\n" ); document.write( "And the y coordinate of the second point is 30; if we went up 7 to get there, we must have started at 23.
\n" ); document.write( "So the y coordinate of the first point is 23; and that is the number we needed to find.
\n" ); document.write( "Without all the explanation, here is all the work that is needed to answer this question:
\n" ); document.write( "The change in x, from -5 to +1, is 6; the slope is 7/6, so the change in y must be 7; 30-7=23. \n" ); document.write( "