Write the point-slope form of the equation of the line through point (6, -2) that is perpendicular to the line y=2x-3

The point - slope form of the equation of line 1 is y = (-1/2)x + 1

Step-by-step explanation:

here, the given point on the equation  1  is A(6, -2).

Now, equation of line 2 is y = 2x - 3

Comparing it with the INTERCEPT SLOPE FORM :  y =  mx + C

Slope of Line 2    = 2  (= m2)

Now,as line 1 is perpendicular to line 1

⇒ Slope of line 1  x Slope of line 2  = -1

or, slope of line 1  = (-1/2)

Now, by POINT SLOPE form of a equation:

An equation with point (x0 , y0) and slope m is given as

(y - y0)=  m (x - x0)

Here, the equation of line 1 with point (6, -2) and slope (-1/2) is given as:

Hence, the point - slope form of the equation of line 1 is y = (-1/2)x + 1

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b