Which equation is a point slope form equation for line AB? y+1=−2(x−6)

y+2=−2(x−5)

y+6=−2(x−1)

y+5=−2(x−2)

Option 2: y+2=−2(x−5) is the correct answer.

Step-by-step explanation:

We can see two points on the line A and B.

Their coordinates are:

A = (x1,y1) = (1,6)

B = (x2,y2) = (5,-2)

The point slope form is given as:

Here m is the slope which is found using the formula

Putting the values

Putting the value of slope

Putting both points to get two forms of point slope form of equation

Putting (1,6):

Putting (5,-2):

Looking at the equations and options it can be concluded that

Option 2: y+2=−2(x−5) is the correct answer