Given the points C(-1,5) and D(3,-1). Find the slope of a line parallel and perpendicular to CD in simplest fractional form.
step 1
Find the slope CD
Applying the formula to calculate the slope
m=(-1-5)/(3+1)
m=-6/4
m=-3/2
step 2
Find the slope of a line parallel
Remember that
If two lines are parallel, then their slopes are equal
so
the answer is
slope is -3/2
step 3
Find the slope of a line perpendicular
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
the slope is 2/3