Question

Which equation is graphed in the figure?

Answer 1

Answer: B
Hope this helps :)

Answer 2

Answer: Option B.

Step-by-step 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:

$3y-4x=\frac{7}{2}x+\frac{3}{2}y+6\\\frac{3}{2}y=\frac{15}{2}x+6\\y=\frac{30}{6}y+4\\y=5x+4$

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.