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:

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

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:

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

Therefor the slope of the line is

$m=\frac{1}{2}$