<PRE><B>Question 1099832</B>
&lt;br&gt;The first tutor simply said &quot;use the formula for slope&quot;.  Not too helpful....&lt;br&gt;
And then the second tutor used the formula for slope and did a lot of work to get the answer.&lt;br&gt;
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.&lt;br&gt;
And if you have that understanding, you will get to the answer with much less work than what the second tutor showed.&lt;br&gt;
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.&lt;br&gt;
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.&lt;br&gt;
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.&lt;br&gt;
And we DID move 6 units to the right going from the first point to the second; so we must have gone up 7.&lt;br&gt;
And the y coordinate of the second point is 30; if we went up 7 to get there, we must have started at 23.&lt;br&gt;
So the y coordinate of the first point is 23; and that is the number we needed to find.&lt;br&gt;
Without all the explanation, here is all the work that is needed to answer this question:&lt;br&gt;
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.</PRE>