a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
 
                                
             
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