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timofeeve [1]
4 years ago
8

Write the equation of each line in point slope form.then graph the line

Mathematics
1 answer:
Greeley [361]4 years ago
7 0

Answer:

y - 3 =  - \frac{1}{2}(x + 2)

Explanation:

I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:

I am joyous to assist you anytime.

** It does not matter which coordinate you choose, as long as it falls on the line.

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Step-by-step explanation:

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Last question thanks guys!! (only 1!)
pogonyaev
The correct answer is:  [C]:  " x² = √32 " .
_________________________________________________
Explanation:
_________________________________________________
Note:  Working backward,   "(± 4√2)" , squared, equals what value(s)?
_________________________________________________
Note:  We are actually given 2 (TWO) solutions:

  " +4√2" and "–4√2" ; 
_______________________________________
√32 = √8 √4 = √4 √2 √4 = 4√2 ;

- √32 = -1 * √32  =   - 4√2
_______________________________
or:  

√32 = √16 √2  = 4√2 ; 

-1 * √32  =   - 4√2
______________________________________________________
However, BOTH these values, when "squared" (i.e. raised to the exponential power of "two"; will result in the same value— which is:  "32" ; 
_______________________________________________________

 is equal to:  "(4√2)²  = (4)² *(√2)²  =  (4*4) (√2*√2) = 16*2 = " 32 " .

______________________________________________________
√32 = √8 √4 = √4 √2 √4 = 4√2 ;

- √32 = -1 * √32  =   - 4√2
_______________________________
or:  

√32 = √16 √2  = 4√2 ; 

-1 * √32  =   - 4√2
_________________________________________________
          " (4√2)²  =  (4)²  * (√2)²  =  (4 * 4) (√2*√2)  =  16 * 2 = " 32 " .  

         " (-4√2)²  = (-4)²  * (√2)²  = (-4 *-4) (2) = 16 * 2 = " 32 " .
_________________________________________________
The correct answer is:  " 32 <span>" ; which is:  Answer choice:  [D]:  " x</span>² = 32 " .<span>

We know that the answer is: " </span>" {" <span>± 8 "}; since we are dealing with equations that contain "x SQUARED"; that is, " x</span>²"; and when we solve for the 'square root of all values of a [variable raised to an even positive integer] ;

we take the "plus or minus" square root values ;  since the value, "x" could be plus or minus;  since a "negative value" multiplied by a "negative value" is a "positive value" ; 
______________________________________________
So, the correct answer is:  Answer choice:  [B]:  " x² = <span>± 8 " .
______________________________________________
Let us check our answer:  

</span>√32 = √16*√2 = 4√2 ;

– √32  =  – 4√2 ;
________________________________________________
Also, note:
________________________________________________

   
x²  =  32 ;  Solve for "x" ; 

→ Take the square root of "each side" of the equation ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;

→  √(x²)  =  √32 ; 

→  | x |   = √32 ;

→  x = ±   √32 . Yes!
____________________________________________________
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