Answer: slope = 1[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope between to points is given as :
slope = change in y / change in x
That is
slope = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
From the points given :
[tex]x_{1}[/tex] = 5
[tex]x_{2}[/tex] = 2
[tex]y_{1}[/tex] = 10
[tex]y_{2}[/tex] = 5
Substituting into the formula , we have
slope = [tex]\frac{5-10}{2-5}[/tex]
slope = [tex]\frac{-5}{-3}[/tex]
slope = [tex]\frac{5}{3}[/tex]
slope = 1[tex]\frac{2}{3}[/tex]
