Question

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

Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)

Answer 1

y-6= -2(x+2)

Explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

• m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2

intercept:

• 6= (-2)*(-2)+b ⇒ b= 6-4= 2

the function is:

• y= -2x+2

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no