Question

Y(-7, -4), Z(5,2) determine the slope of the line

Answer 1

To determine the slope of a line, we have to remember that it is given by:

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

In this case, we have that:

`\begin{gathered} Y(-7,-4)=(x_1,y_1) \\ Z(5,2)=(x_2,y_2) \end{gathered}`

So, plugging our values in the equation of the slope, we have:

`\begin{gathered} m=(2-(-4))/(5-(-7)) \\ =(2+4)/(5+7) \\ =(6)/(12) \\ =(1)/(2) \end{gathered}`

Therefor the slope of the line is

`m=(1)/(2)`