Question

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 1

Label the points given as points X and Y,

Where X and Y are as follows,

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

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

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the variables into the formula above,

$m=\frac{7-14}{10-1}=\frac{-7}{9}$

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