Question

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

A. y+1=−2(x−6)

B. y+6=−2(x−1)

C. y+5=−2(x−2)

D. y+2=−2(x−5)

Answer 1

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

Answer 2

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

Explanation:

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

`(y-d)=(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))=(-2-6)/(5-1)(x-5)`

`\Rightarrow\ (y+2)=(-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)`