Question

Which equation is graphed in the figure?

A. 3x-4y=7/2y+3/2x+9
B. 3y-4x=7/2x+3/2y+6
C. 3x-4y=7/2y+3/2y+6
D. 3y-4yx=7/2x+3/2y+9

Answer 1

Answer: B
Hope this helps :)

Answer 2

Answer: Option B.

Explanation:

1. The equation of the line has the following form:

`y=mx+b`

Where m is the slope of the line and b is the y-intercept.

2. Therefore, you must solve for y to write the equation in that form:

`3y-4x=(7)/(2)x+(3)/(2)y+6\\(3)/(2)y=(15)/(2)x+6\\y=(30)/(6)y+4\\y=5x+4`

3. As you can see, the y-intercept is b=4, therefor, the equation of the option B is the equation graphed in the figure.