Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is

The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


That's standard form; let's plug in the numbers:


y = -x + 1/3
+ x + x
--------------------------
x + y = 1/3
False. Perpendicular lines run beside each other not through each other.
Answer:
<h2>The x-coordinate after the rotation is -10.</h2>
Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule

The given coordinate is
. Using the rule, we have

Therefore, the x-coordinate after the rotation is -10.
Answer: x=4. PS=QR=15
Step-by-step explanation: