Which of the following statements is true about the graph of the equation 2y-3x=-4 in the xy-plane? Explain step by step how you achieved your answer.

A) It has a negative slope and a positive y-intercept.

B) It has a negative slope and a negative y-intercept.

C) It has a positive slope and a positive y-intercept.

D) It has a positive slope and a negative y-intercept.

Question

Cohen Zavala

Mathematics

24 November, 02:08

Which of the following statements is true about the graph of the equation 2y-3x=-4 in the xy-plane? Explain step by step how you achieved your answer.

A) It has a negative slope and a positive y-intercept.

B) It has a negative slope and a negative y-intercept.

C) It has a positive slope and a positive y-intercept.

D) It has a positive slope and a negative y-intercept.

+4

Answers (1)

Know the Answer?

Kyler Chandler · Answer 1

D. It has a positive slope and negative y - intercept.

Step-by-step explanation:

2y - 3x = - 4

We can rewrite the equation in the form of y = mx + b where m is the slope and b is the y - intercept as,

2y = 3x - 4

Dividing all the terms by 2, we will get,

2y/2 = 3x/2 - 4/2

y = (3/2) x - 2

So the slope is 3/2 which is positive and y-intercept is - 2 which is negative.