Answer:
The slope of the line that contains the points R(0, 4) , S(5, 0) is [tex]m = \frac{-4}{5}[/tex] .
Step-by-step explanation:
Formula
The slope of the line is defined as
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given in the question
The line contains the points R(0, 4), S(5, 0) .
[tex]x_{1}=0[/tex]
[tex]y_{1}=4[/tex]
[tex]x_{2}=5[/tex]
[tex]y_{2}=0[/tex]
Put all the points in the formula
[tex]m = \frac{0-4}{5-0}[/tex]
[tex]m = \frac{-4}{5}[/tex]
Therefore the slope of the line that contains the points R(0, 4) , S(5, 0) is [tex]m = \frac{-4}{5}[/tex] .
