Given:
The line passes through the points (8,-4) and (6,2).
To find:
The slope of the line.
Solution:
If a line passes though two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (8,-4) and (6,2). So, its slope is
[tex]m=\dfrac{2-(-4)}{6-8}[/tex]
[tex]m=\dfrac{2+4}{-2}[/tex]
[tex]m=\dfrac{6}{-2}[/tex]
[tex]m=-3[/tex]
Therefore, the slope of the line is -3.
