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) ....

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step-by-step explanation:

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