If x = 3(y+w)– 1, what is the value of w in terms of x and y?
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Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
Also, product of slope will be -1 .( Since, they are parallel )
x = 2y - 1
So,
Also, C satisfy given line :
Also,
Therefore, the symmetric points is .
Answer:
Step-by-step explanation:
Slope Formula:
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>: