Answer:
Perpendicular: 4, Parallel: -1/4
Explanation:
The slope of a line perpendicular to the given line is the opposite inverse of the slope to the line.
First write the equation of the line in slope-intercept form
-x-4y=7
-4y=x+7
y=-(1/4)x-7/4;
The slope to the line is -1/4; Now find the slope of the perpendicular line;
-(-1/4)^-1 = 4
4
The slope of a line parallel to a line is the same as the given slope;
when we calculated the given slope, it was -1/4
The slope of the line parallel to this line is also -1/4
-1/4