The correct answer is: B.
We could use a graphing calculator to solve this easily, but let's just solve it by looking at the equation.
We'll need to turn this standard form equation into a slope-intercept form equation to be able to easily solve it.
Isolate y.
2x - 3y = 7
Add 3y to both sides.
2x = 3y + 7
Subtract 7 from both sides.
3y = 2x - 7
Divide both sides by 3.
y = 2/3x -7/3
Now, we can plug each x value in the answer choices into x to find the corresponding y value.
y = 2/3(7) - 7/3 = 2.34
As this y value does not match, A is not the answer.
y = 2/3(-4) - 7/3 = -5
This y value does match, so B is the correct answer.
y = 2/3(-9) - 7/3 = -8.34
This y value doesn't match either, so C is not the answer.
y = 2/3(9) - 7/3 = 3.67
This y value doesn't match either, so D is not the answer.
