Final answer:
The equation in slope-intercept form for a line parallel to y = -3/5x - 3 and passing through the point (5, -1) is y = -3/5x + 4.
Step-by-step explanation:
To find the equation of a line parallel to y = -3/5x - 3 and passing through the point (5, -1), we need to use the slope-intercept form of a linear equation, which is y = mx + b. The slope of the given line is -3/5, and since the line we are looking for is parallel, it will have the same slope. So, the equation will be y = -3/5x + b. We can find the value of b by substituting the x and y coordinates of the given point into the equation and solving for b. Plugging in the values, we get -1 = (-3/5)(5) + b. Solving for b, we find that b = 4. Therefore, the equation of the line is y = -3/5x + 4, which corresponds to option B.