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.

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,

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-2-6}{5-1}= \frac{-8}{4} =-2$

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.