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Find the slope between the points (1,3) and (5,9)

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$$m = \frac{6}{4} = 1 \frac{2}{4} = 1 \frac{1}{2} = 1.5$$

Step-by-step explanation:

Use rise over run. ($$\frac{rise}{run}$$)

Your rise value is how much the y has gone up (or down) from one point to the next. $$y_{1} =3$$ $$y_{2} = 9$$. You can figure out what your rise is by using the equation $$y_{2} -y_{1} = rise$$. So, our rise is 6.

Now, solve for your run value. Your run value is how much the x has gone up (or down) from one point to the next. $$x_{1} =1$$ $$x_{2} = 5$$. You can figure out what your run is by using the equation $$x_{2} -x_{1} = run$$. So, our run is 4.

Now that we have our rise and run values, insert them into the fraction $$\frac{rise}{run}$$, and simplify. $$\frac{rise = 6}{run = 4} = \frac{6}{4} = 1 \frac{2}{4} = 1 \frac{1}{2} = 1.5$$

Hope this helps. Have a great day!
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3/2

Step-by-step explanation:

Slope is change in y over change in x (y2-y1 over x2-x1)

The change in y would be (9) - (3), which is 6.

The change in x would be (5) - (1), which is 4.

6/4 is also 3/2, which is the slope.
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