Question 1111481
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It is far too easy to get the wrong answer for a slope by being careless with the formal formula {{{m = (y2-y1)/(x2-x1)}}}.<br>
Instead of blindly plugging numbers into a formula, think about the meaning of the slope.<br>
Slope tells you how far you go up or down each time you move 1 to the right.<br>
It's like the slope of a path you are walking along when you go hiking: It is how much your elevation changes (up or down) each time you take a step forward.<br>
So I always advise students to picture (at least in their mind, but on paper is better) walking left to right from one point to the other.<br>
That means first determining which of the two points is farther to the left; that of course means the one with the lesser x coordinate.<br>
Then, from that first point, determine how far you move to the right to get to the second point, and determine how much you go up or down.<br>
The ratio of the two numbers is the slope.<br>
In your example, the point (-6-4) is farther to the left, because -6 is less than -4.  So you start at (-6,-4).
To get from (-6,-4) to (-4,7), you move 2 to the right (from -6 to -4); in the process, you move up 11 (from -4 to 7).<br>
Moving up 11 units when moving 2 units to the right means the slope is 11/2.<br>
Explaining how to find the slope by this process takes a long time.  But if you try using it, you will be far less likely to get a wrong answer than if you just plug numbers into a formula.