Which angle of rotation is determined by the matrix below? (pictured above) a. 45 degrees b. 135 degrees c. 225 degrees d. 315 degrees

Option C. 225 degrees

Step-by-step explanation:

The given matrix is

which is in the form of

where ∅ is the angle of rotation of any vector.

By comparing the elements of first column of two matrices given

Value of cos ∅ = -√2/2

∅ = either 225° or 315°

and it is also given that (sin ∅) = -√2/2 or sin ∅ = -√2/2

Therefore ∅ = either 225° or 315°

Now sin ∅ = -√2/2

∅ = either 135° or 225°

So the common angle is 225°

Now it's confirmed that measurement of angle ∅ = 225°

Option C. 225° degrees is the answer.

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step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4