SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (4,9) and (10,-7) Again I just do not understand this at all no matter how or who explains it to me!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (4,9) and (10,-7) Again I just do not understand this at all no matter how or who explains it to me!!      Log On


   



Question 136692: Find the slope, if it exists, of the line containing the pair of points.
(4,9) and (10,-7)
Again I just do not understand this at all no matter how or who explains it to me!! How do i do this???

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First, can you plot a point like (4,9)?
You just go from 0 to the right 4 units, then up 9 units.
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Next, plot the point (10,-7). You start at 0, then go to the right
10 units, and go down (in the negative y direction) 7 units.
Now you have 2 points plotted. Connect the points with a straight line.
----------------------
The slope is just like the slope of a roof, and it's defined in math
exactly the way a carpenter defines it. A carpenter says "rise over run"
This means how high the roof is at the peak divided by how far it runs
horizontally. If you remember this, you'll never have problems
with slope. In math it's
(change in y between 2 points) / (change in x between the same points)
Picture the slope of a roof, and you'll get it straight.
---------------------
Call (4,9) P1
Call (10,-7) P2
slope = (change in y from P1 to P2) / (change in x from P1 to P2)
slope = %289+-%28-7%29%29+%2F+%284+-+10%29
slope = %289+%2B+7%29+%2F+-6
slope = 16+%2F+-6
slope = -%288%2F3%29 answer