Answer: Option B.
Step-by-step explanation:
1. The equation of the line has the following form:
[tex]y=mx+b[/tex]
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:
[tex]3y-4x=\frac{7}{2}x+\frac{3}{2}y+6\\\frac{3}{2}y=\frac{15}{2}x+6\\y=\frac{30}{6}y+4\\y=5x+4[/tex]
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.
