Question

Which ordered pair is the on the graph of the equation 2x+5y=4?

Answer 1

To determine which of the choices is lies on the line represented by the equation, 2x + 5y = 4, substitute the values of the abscissas to the x of the equation and solve for y. Evaluate if the y calculated is equal to the ordinate of the ordered pair. Calculations are shown below.

A. (7, -2)       ; 2(7) + 5y = 4     ;       y = -2      ; EQUAL
B. (0,-1)        ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
C. (0,1)         ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
D. (3, -2)       ; 2(-3) + 5y = 4    ;       y = 2       ; NOT EQUAL

Thus, the answer is letter A. (7, -2)