The slope of the given line is [tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
Given:
The Two points are (3,11) and (7,6)
To Find:
The slope of the line passes though the points
Formula to be used:
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1}}[/tex]
Solution:
Let "m" be the slope of the points ([tex]x_{1} y_{1}[/tex]) and ([tex]x_{2} y_{2}[/tex]) respectively,
Where [tex]x_{1}[/tex]= 3, [tex]x_{2}[/tex]= 7 , [tex]y_{1}[/tex]= 11 ,[tex]y_{2}[/tex] = 6
Substituting all the above values in the slope formula,we get
m=[tex]\frac{6-11}{7-3}[/tex] =[tex]\frac{-5}{4}[/tex]
The slope m = [tex]\frac{-5}{4}[/tex]
Hence, the slope of the line is [tex]\frac{-5}{4}[/tex]
