Final answer:
The equation of the line with a slope of 2/3 that passes through the point (-3,-4) is y = (2/3)x - 2.
Step-by-step explanation:
The student has asked for the equation of a line with a given slope of 2/3 that passes through a specific point, which is (-3,-4).
To find this equation, we use the point-slope form, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Substituting the given point and slope into the formula yields: y - (-4) = (2/3)(x - (-3)).
This simplifies to y + 4 = (2/3)x + 2 and then to y = (2/3)x - 2.