Answer:
[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!
