The answer is C. y= 3/2 x. You can check by multiplying 3/2 by 3, if you get 7, it is correct
 
        
             
        
        
        
Answer:
y= -5x +24
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -5, m= -5.
Substitute m= -5 into the equation:
y= -5x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation:
When x= 3, y= 9,
9= -5(3) +c
9= -15 +c
c= 9 +15
c= 24
Thus, the equation of the line is y= -5x +24.
 
        
             
        
        
        
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted  , which we can parameterize by the vector-valued function,
, which we can parameterize by the vector-valued function,

for  , which has differential
, which has differential

Then with  , we have
, we have



Complete the square in the quadratic term of the integrand:  , then in the integral we substitute
, then in the integral we substitute  :
:


Make another substitution of  :
:

Integrate by parts, taking




So, we have by the fundamental theorem of calculus that



 
        
             
        
        
        
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