Question

what is slope of the line parallel to the line containing points (2,5) and (6,-11)

Answer 1

The parallel lines have the same slope.

The formula of a slope:

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

We have the points (2, 5) and (6, -11).

Substitute:

$m=\dfrac{-11-5}{6-2}=\dfrac{-16}{4}=-4$