Consider the line -8x-2y=5
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 the given line, we first need to find the slope of the given line. The equation is in the form -8x - 2y = 5, which can be rewritten as -2y = 8x + 5, and then dividing by -2 to get y isolated:
y = -4x - 5/2
The slope of the given line is -4.
The slopes of perpendicular lines are negative reciprocals of each other. Therefore, the slope of a line perpendicular to -8x - 2y = 5 is (1/4).
The slope of a line parallel to the given line will be the same as the slope of the given line, which is -4.