Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5). The equation in point-slope form is
(Use integers or fractions for any numbers in the equation.)

Step-by-step explanation:

The point-slope form of a line is (y - y₁) = m(x - x₁)

Since we know the slope (m) is -4

And the point  ( x₁, y₁ ) is (4, 5)

Then we can just plug these into the equation above:

                               ⇒  y - 5 =  - 4 (x - 4)

I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).                                      

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

the answer is 99.