Question

What is the slope of the line shown below?10(-6,3)5(12,5)5101610OAA.6B. -6C. -D. 6

Answer 1

Consider that the slope (m) of a line passing through two given points is calculated using the formula,

`m=(y_2-y_1)/(x_2-x_1)`

It is evident from the graph that points (-6,3) and (12,6) lie on the line,

`\begin{gathered} (x_1,y_1)=(-6,3) \\ (x_2,y_2)=(12,6) \end{gathered}`

Then, substitute the values in the formula to obtain the slope of the given line,

`\begin{gathered} m=(6-3)/(12-(-6)) \\ m=(3)/(12+6) \\ m=(3)/(18) \\ m=(3)/(6\cdot3) \\ m=(1)/(6) \end{gathered}`

Thus, the slope of the given line is,

`(1)/(6)`

Therefore, option A is the correct choice.