Question

Which equation is graphed in the figure?
graph attached

A. 3x – 4y = 8
B. 3x + 4y = 8
C. –8 = 4y – 3x
D. 8 = –4y – 3x

Answer 1

The answer is c because if you but in 0 for x and y then  you will get you x and y intercepts

Answer 2

Answer

D. 8 = –4y – 3x

Explanation

There are several ways of determining which graph is graphed.

You can first write the equation to be in the  general format of equation of a line.

Y = mX + c          Where c is the y intercept.

A. 3x – 4y = 8   ⇒ -4y  = -3x + 8

                           y =  (3/4x) + -2

B. 3x + 4y = 8   ⇒ 4y = -3x + 8

                            y = (-3/4x) + 2

C. –8 = 4y – 3x   ⇒ 4y = 3x - 8

                               y = (3/4)x - 2

D. 8 = –4y – 3x  ⇒ -4y = 3x + 8

                                 y = (-3/4)x + -2

From the graph drawn the y-intercept is -2 and the gradient is a negative value. . For this reason we disqualify A, B and C. The answer is D. 8 = –4y – 3x