Set 2: Polynomial Functions (Advanced)

Choice C is correct. A system of two linear equations in two variables, x and y , has no solution if the lines represented by the equations in the xy-plane are parallel and distinct. Lines represented by equations in standard form, Ax + By = C and Dx + Ey = F , are parallel if the coefficients for x and y in one equation are proportional to the corresponding coefficients in the other D E = ; and the lines are distinct if the constants are not A B F proportional, meaning is not equal to D or E . The given equation, y = 6 x +18, B C A equation, meaning can be written in standard form by subtracting 6 x from both sides of the equation to yield -6 x + y =18. Therefore, the given equation can be written in the form Ax + By = C , where A = -6 , B =1, and C =18 . The equation in choice B,