The table represents a linear equation. which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)

we know that

the equation of the line in point slope form is equal to

in this problem we have

substitute

therefore

the answer is

> the question does not show the table to know the value of the slope m

We simply substitute -2 to the x's of the equation and solve for y. if y is satisfied then, the equation when in point-slope form will be the answer.

(1) y - 6 = x - 2   ;   y - 6 = -2 - 2 ; y = 2   (no)
(2) y + 6 = x + 2   ; y + 6 = -2 + 2   ; y = -6
the answer is the second equation because y is satisfied. 

The answer would be 22