Question

Which equation is a point slope form equation for line AB ?

A: Y+6=-2(x-1)

B: Y+2=-2(x-5)

C: Y+1=-2(x-6)

D: Y+5=-2(x-2)

Answer 1

i think the answer is A

Answer 2

Answer: The correct option is B.

Step-by-step explanation:

From the given figure it is noticed that the line passing through the point (1,6) and (5,-2).

The slope of the line is,

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-2-6)/(5-1)= (-8)/(4) =-2`

The point-slope form for the line that passes through two points is,

`y-y_1=m (x-x_1)`

Where m is the slope.

The point is (1,6), So the point slope form is,

`y-6=-2(x-1)`

And the second point is (5,-2), So the point slope form is,

`y+2=-2(x-5)`

Therefore option B is correct.