Answer:
The slope of the line between the points (2,-1) and (5,-3) is [tex]m=-\frac{2}{3}[/tex]
Therefore [tex]m=-\frac{2}{3}[/tex]
Step-by-step explanation:
Given that the line between the points (2,-1) and (5,-3)
To find the slope of the line between the points (2,-1) and (5,-3) :
The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)[/tex] , [tex](x_2,y_2)[/tex] be the given points (2,-1) and (5,-3) respectively
Now substitute the values of the points in the formula
[tex]m=\frac{-3-(-1)}{5-2}[/tex]
[tex]=\frac{-3+1}{3}[/tex]
[tex]=\frac{-2}{3}[/tex]
Therefore [tex]m=-\frac{2}{3}[/tex]
The slope of the line between the points (2,-1) and (5,-3) is [tex]m=-\frac{2}{3}[/tex]
