The given line segment has a midpoint at (−1, −2).

i'll pick a brainliest !
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 set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.