If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
 These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
 
        
             
        
        
        
        
<u>Answer:</u>
The point-slope equation of the line is  or
 or 
<u>Solution:
</u>
Let us assume that the slope is m and the y intercept of the line is b
Hence,  --------- (i)
--------- (i)
y intercept means we need to find the value of y when x is 0
Here the line passes through point (4,-6) and slope m = (-2)
Now putting the point (4,-6) in equation (i) we get,





So, the equation of the line will be will be  or
 or 
 
        
             
        
        
        
Answer:
77bb
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation: