A restricted value is a value that will make the fraction undefined, and thus will make it impossible to exist.
Restricted values can exist in two forms: asymptotes and holes.
By simplifying all sides of this expression, we can find the restricted values.
After finding factors, and then cancelling like factors, keeping in mind the original factors in the denominator, we can find three restrictions:
1, 2, and -2.
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
Answer:
y = -2x -9
Step-by-step explanation:
<h2><u>in order to solve this question you have to do the following : </u></h2>
1. find the midpoint of the coordinates given
2. find the gradient of the line
3. make the equation
<h3><em><u>STEP : The midpoint </u></em></h3>
formula of the midpoint is

now place the values in the equation :

midpoint = ( -3 , -3)
<h3><em><u>STEP 2 : The gradient </u></em></h3>
formula of finding the gradient

insert the values in the equation:

=
gradient = -2
<h3><em><u>STEP 3: Form the equation </u></em></h3>
use the formula of the equation :

now make use of the gradient(m) and the midpoints and insert into the equation
(y-(-3)) = -2(x -(-3))
hence
y+3 = -2 (x +3)
y= -2x -6 -3
<h3><u /></h3><h3><u>y = -2x -9 </u></h3>