Final answer:
The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).
Step-by-step explanation:
The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:
Oy+4 = (x-2)
To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.