Identifying Parallel and Perpendicular Lines

$$y=7x+1$$  & $$y=7x+22$$  

The preceding lines are

$$y=\frac{2}{9}x-1$$  & $$y=\frac{9}{2}x-1$$  

The preceding lines are

$$y=\frac{5}{4}x$$  & $$y=-\frac{4}{5}x+3$$  

The preceding lines are

$$y=\frac{2}{11}x-10$$  & $$2x-11y=44$$  

The preceding lines are

Type the gradient of a line that would be perpendicular to

$$y=2x+5$$  

(a)  

Type the gradient of a line that would be parallel to

$$2x-4y=16$$  

(a)  

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

If the lines are parallel to each other and the slope of the blue is -1, what is the slope of the purple line?