For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
