Answer:
y + 4 = -3(x -2)
Step-by-step explanation:
A line parallel to y = -3x + 7 also has a slope of -3.
Use the point-slope formula:
y - k = m(x - h)
Inserting the given info, we get:
y + 4 = -3(x -2)
Absolute value means the real answer for example |-5| answer is 5
|-6| answer is 6 like that
Your question answer is then 5
Thank you
Hope you understood
Answer:

Step-by-step explanation:
It is a result that a matrix
is orthogonally diagonalizable if and only if
is a symmetric matrix. According with the data you provided the matrix should be

We know that its eigenvalues are
, where
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices
that diagonalizes the matrix
so.

and

Observe that the rows of
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of
dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below