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Geometry E.2 Slopes of lines V21Find the slope of the line that passes through (1, 14) and (10, 7).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer :

Label the points given as points X and Y,

Where X and Y are as follows,

[tex]\begin{gathered} X(x_1,y_1)=(1,14)\text{ and } \\ Y(x_2,y_2)=(10,7) \end{gathered}[/tex]

The formula to find the slope of a line, m, is given below as,

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

Substituting the variables into the formula above,

[tex]m=\frac{7-14}{10-1}=\frac{-7}{9}[/tex]

Hence, the slope m of the line is -7/9.

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