Answer:
Choice B. y = (2/3)x
Explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
The line passes through points (0, 0) and (3, 2).
The y-intercept is 0, so b = 0, and we get
y = mx + 0
or simply
y = mx
The slope can be read from the graph. The slope is rise (difference in y) over run (difference in x). Start at (0, 0). We need to go to point (3, 2) by going vertically and horizontally. To go vertically, go up 2 units. That is a rise of 2. To go horizontally, go right 3 units. That is a run of 3.
slope = run/rise = 2/3
y = (2/3)x
Answer: B