Consider the line y=-4-5divided by 2x
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
To find the slope of a line perpendicular to y=-4-5/2x, we first need to find the slope of the given line, which is -5/2.
The slope of a line perpendicular to a given line is the negative reciprocal of the given line’s slope. So, the slope of a line perpendicular to y=-4-5/2x would be the negative reciprocal of -5/2, i.e., 2/5.
To find the slope of a line parallel to y=-4-5/2x, we just use the same slope as the given line. Therefore, the slope of a line parallel to y=-4-5/2x is -5/2.