Suppose a point (x, y) on the coordinate plane is rotated 270 degrees counterclockwise about the origin, then reflected across the line y = - x , then reflected across the y-axis. show that the image of (x, y) after this sequence of transformations is the same as the image of (x, y) after a 180 degrees rotation about the origin .

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

~dasgupta/mathbook/append17dec2k8.pdf

depends what are you allowed to do ?

your answer is b.

step-by-step explanation:

the 2 points are: (3,1) and (6,6)

first, let's find the slope:

(6-1)/(6-3) = 5/3

then let's plug this into the point-slope formula:

y - 1 = 5/3(x - 3)

this is your answer! the below is just the simplified form.

y - 1 = 5/3x - 5

y = 5/3x - 4