Select the correct answer. which equation represents this line in point-slope form? a. `(y + 4) = (4)/(3) (x + 3)` b. `(y −4) = -(4)/(3) (x +3)` c. `y= -(3)/(4)x` d. `4y− 3x = 0`

The correct option is `(y −4) = -(4)/(3) (x +3) ..

Step-by-step explanation:

Look at the attached picture:

The points we have given are (-3, 4) and (3, -4)

Find the slope by applying the formula:

m = y2-y1/x2-x1

Here x1= -3

x2= 3

y1 = 4

y2 = -4

Now put the values in the formula:

m = -4 -4 /3 -(-3)

m = -8/3+3

m = -8/6

Now cancel the term by table of 2

m = -4/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

y - 4 = -4/3 (x - (-3))

y-4 =  -4/3 (x+3)

Thus the correct option is `(y −4) = -(4)/(3) (x +3) ....

your answer is a

step-by-step explanation:

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answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet