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

a. y−2=−2(x+6)y−2=−2(x+6)

b. y−6=−2(x+2)y−6=−2(x+2)

c. y−2=−2(x+2)y−2=−2(x+2)

d. y−2=2(x+2)

Step 1

Find the equation of the line AB

we know that

the equation of the line into point-slope form is equal to

Let

Find the slope m

we know that

the slope between two points is equal to

substitute

with the slope m and point A find the equation of the line AB

or

with the slope m and point B find the equation of the line AB

we will proceed to verify each case to determine the solution of the problem

Step 2

Verify case A

Case A)

the slope of the line is

but the point -----> not lie on the line AB (see the graph)

therefore

the case A is not the solution

Step 3

Verify case B

Case B)

the slope of the line is

and the point -----> is the point A

therefore

the case B is a solution

Step 4

Verify case C

Case C)

the slope of the line is

but the point -----> not lie on the line AB (see the graph)

therefore

the case C is not the solution

Step 5

Verify case D

Case D)

the slope of the line is -----> the slope is not equal to the slope AB

and the point -----> not lie on the line AB (see the graph)

therefore

the case D is not the solution

the answer is

The equation is a point-slope form of the line AB

i am thinking c. sorry if im wrong .

step-by-step explanation: