Question

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.

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.