Question

Which equation is a point slope form equation for line AB ? Ａ。 y+1=−23(x−4) Ｂ。y+1=−32(x−4) Ｃ。y+1=23(x−4) Ｄ。 y+1=32(x−4)

Answer 1

The correct option is A

Step-by-step explanation:

i TOOK THE TEST

Answer 2

Answer: The correct option is A.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of point A are (4,-1) and the coordinates of B are (-2,3).

The slope form of a line passing through two points
`(x_1, y_1)` and
`(x_2, y_2)` is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The line AB passing through two points A(4,-1) and B(-2,3).

Using the above formula,

`y-(-1)=(3-(-1))/(-2-4)(x-4)`

`y+1=(3+1)/(-6)(x-4)`

`y+1=(4)/(-6)(x-4)`

`y+1=-(2)/(3)(x-4)`

Therefore, the option A is correct.