what is the slope of a line that contain the point R (5 , 1) and S (3 ,7)


Sagot :

Answer:

[tex] \tt{} - \dfrac{6}{5} [/tex]

Step-by-step explanation:

[tex] \begin{array}{c| c} \\ \tt{} (7 , 1) &( 3, 5) \\ \overline{ \: \: \: \tt{}x _{1} , y _{1} \: \: \: } & \overline{ \: \: \: \tt{} x_{2}, y _{2} \: \: \: } \\ & \end{array}[/tex]

Slope formula:

[tex] \\ \tt{}m = \frac{y_{2} - y _{1} }{x _{2} - x _{1} } [/tex]

[tex]\\ \tt{}m = \frac{7 - 1}{ 3 - 5} [/tex]

[tex]\\ \tt{}m = \frac{6}{ - 5} [/tex]

[tex]\\ \large \boxed{ \tt{}m = - \frac{6}{5} } \\ \\ [/tex]

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