Respuesta :

well, look at the graph, and pick any two points from it to get it, hmmm let's see say we can use (0,2) since that's on the line and hmmm (-3,1), those two,

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-2}{-3-0}\implies \cfrac{-1}{-3}\implies \cfrac{1}{3}[/tex]
agpostle2001oulmfi
Okay, so slope is rise over run, and since the line is going up on the right side, it's positive.  Rise is going up, so you start at a point on the line and count up until the line hits another point.  You go up 1 times, so the rise is 1.  Run is counting to the right, so you start off at the point you left off on and count to the right.  You go 3 times, so the run is 3.  Rise over run is 1/3, so your slope is 1/3.

This is only one of the ways to find the slope on a basic line graph.

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