Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on it, we can use the following formula:
[tex]\boxed{\mathrm{slope = \frac{y_2 - y_1}{x_2 - x_1}}}[/tex],
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the known coordinates.
In this question, if we consider [tex](8, -1)[/tex] to be [tex](x_1, y_1)[/tex], and [tex](-8, 1)[/tex] to be [tex](x_2, y_2)[/tex]we can substitute the values into the formula and find the slope:
[tex]{\mathrm{slope = \frac{1 - (-1)}{(-8) - 8}}}[/tex]
= [tex]\frac{2}{-16}[/tex]
= [tex]\bf-\frac{1}{8}[/tex]
