A line passes through the points open paren 2 comma negative 2 close paren and open paren negative 6 comma 2 close paren The point open paren A comma negative 4 close paren is also on the line. What is the value of A ?

The slope through (2, −2) and (−6, 2) is (2 − (−2))/(−6 − 2) = 4/−8 = −1/2. From (2, −2) to a point with y-coordinate −4, y decreases by 2, so x must increase by 4 to keep the slope −1/2. Thus A = 2 + 4 = 6, which is choice D, 6.

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