Find the slope intercept equation that passes through (-3,8) and is perpendicular to the line with the equation: x-7y=12 
       
      
                
     
    
     
    
    
    1  answer:
            
               
               
                
                
Answer: 
C.  y = 7x + 29 . 
Step-by-step explanation: 
First find the slope of the given line:
x - 7y = 12
7y = x - 12
y = 1/7 x - 12/7 
The slope = 1/7  so the slope of the line perpendicular to this line is
- 1 / -1/7 = 7 .
Finding the equation of the  required line:
y - y1 = m(x - x1)
y1 = 8 , m = 7 and x1 = -3:
y - 8 = 7(x + 3)
y = 7x + 21 + 8
y = 7x + 29    answer. 
 
                                
             
         	
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Step-by-step explanation: 
<u>Rectangle:</u>
5 x 10 = 50
<u>Triangle:</u>
1/2bh
18 - 10 = 8
1/2 5(8)
1/2 40
20
<u>Total area:</u>
50 + 20 = 70 cm²