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Find the slope between the points (1,3) and (5,9)
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[tex]m = \frac{6}{4} = 1 \frac{2}{4} = 1 \frac{1}{2} = 1.5[/tex]

Step-by-step explanation:

Use rise over run. ([tex]\frac{rise}{run}[/tex])

Your rise value is how much the y has gone up (or down) from one point to the next. [tex]y_{1} =3[/tex] [tex]y_{2} = 9[/tex]. You can figure out what your rise is by using the equation [tex]y_{2} -y_{1} = rise[/tex]. 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. [tex]x_{1} =1[/tex] [tex]x_{2} = 5[/tex]. You can figure out what your run is by using the equation [tex]x_{2} -x_{1} = run[/tex]. So, our run is 4.

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

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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