Question

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

Answer 1

Answer: D . $((y+2)=-2(x-5)$

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-

$(y-d)=\dfrac{d-b}{c-a}(x-c)$

From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).

Then the equation for the line AB in point-slope form would be :-

$(y-(-2))=\dfrac{-2-6}{5-1}(x-5)$

$\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)$

$\Rightarrow\ (y+2)=-2(x-5)$

Hence, the equation is a point slope form equation for line AB :

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

Answer 2

I believe the answer is D
y+2=-2(x-5)
-2*-5=10
y+2=-2x+10
-2 -2
y=-2x+8