Question

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`

Answer 1

B. `(y −4) = -(4)/(3) (x +3)`

Step by step explanation

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

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

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

= -8/6

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)

The answer is y - 4 = -4/3 (x + 3)

Thank you.