Final answer:
The equation with a graph that has a slope of 2/3 and a y-intercept of -2, written in the slope-intercept form, is y = (2/3)x - 2. The correct choice from the given options is y = -2 + (2/3)x, which is equivalent after rearranging the terms.
Step-by-step explanation:
The question asks which of the given equations has a graph with a slope of 2/3 and a y-intercept of -2. An equation of a straight line is typically given in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, an equation with a slope of 2/3 and a y-intercept of -2 would be written as y = (2/3)x - 2. Among the given options, the equation that matches this form is y = -2 + (2/3)x, which can also be written as y = (2/3)x - 2 after rearranging the terms.