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what is the rate of change of line that passes through (3,5) and (-2,2)?

What Is The Rate Of Change Of Line That Passes Through 35 And 22 class=

Sagot :

Given two points on a line,we can find the rate of change with the following equation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

in this case, we have the following:

[tex]\begin{gathered} (x_1,y_1)=(3,5) \\ (x_2,y_2)=(-2,2) \\ \Rightarrow m=\frac{2-5}{-2-3}=\frac{-3}{-5}=\frac{3}{5} \\ m=\frac{3}{5} \end{gathered}[/tex]

therefore, the rate of change is m = 3/5