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ziro4ka [17]
3 years ago
11

Please help I will mark brainlist if correct

Mathematics
1 answer:
love history [14]3 years ago
3 0
--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

--------------------------------------------------------------------------  
Rearrange the equation
-------------------------------------------------------------------------- 
y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
-------------------------------------------------------------------------- 
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
--------------------------------------------------------------------------- 
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------  
y = 2x + 4

----------------------------------------------------------------------------  
Answer: y = 2x + 4
----------------------------------------------------------------------------- 

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