Find an equation of the line through (4,5) and parallel to y=3x+5.  

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

8 2/3 is the answer

step-by-step explanation: just use a calculator