Which equation is graphed here? a) y = 2 + 2 3 x b) y = -2 - 2 3 x c) y = 2 3 x - 2 eliminate d) y = - 2 3 x + 2

The equation that is graphed there you can determine simply using any two points there:
1) For example, let's use points of the intersection with xy-plane: they are (0, 2) and (3, 0).
2) Then, find the slope using the formula  where (x1, y1) is the first point, and (x2, y2) is the second one.
What is slope? Slope is the measure of how y changes when x changes. Find it using the formula and points (0. 2), (3, 0):
m = (0 - 2) / (3 - 0) = -2/3
3) Now, use the following point-slope formula:

where m is the slope, y and x are variables (do not touch them), and (x0, y0) is absolutely any point on the graph. Use, for example, point (3, 0) there. Plug in:
y - 0 = (-2/3)(x - 3)
y = -2x/3 + 2
SO, the answer will be y = -2x/3 + 2, or the option D.
Hope this helps!

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