B. 11/20
C. 6/20
D. 5/20
If anyone could show me how to do this I would appreciate it.
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
A.y = −4x − 4
B.y = −4x − 6
C.y = x – 4
D.y = x – 6
Step 1
Find the slope of the given line
Let
we know that
The formula to calculate the slope between two points is equal to
substitute the values
Step 2
Find the slope of the perpendicular bisector
we know that
If two lines are perpendicular, then the product of their slopes is equal to minus one
so
In this problem
-----> slope of the given line
Find m2
substitute
Step 3
Find the equation of the perpendicular bisector
we have
point
The equation of the line into slope-intercept form is equal to
substitute the values and find the value of b
the equation of the line is
therefore
the answer is the option B
see the attached figure to better understand the problem
Answer:
-8/17
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-75-(-51))/(31-(-20))
m=(-75+51)/(31+20)
m=-24/51
m=-8/17