Final answer:
Line B, being parallel to line A, must have the same slope of 5. Using the point (-3, 1) to find the y-intercept, the equation of line B is y = 5x + 16. However, none of the provided options match the correct equation as they do not have the slope of 5.
Step-by-step explanation:
The question involves finding the equation of a line, line B, that is parallel to another line, line A, which is given by the equation y = 5x + 4. Since parallel lines have the same slope, we can determine that the slope (m) of line B must also be 5. To find the y-intercept (b) of line B, we will use the point (-3, 1) which lies on line B. Applying the point-slope form, we have:
y - y1 = m(x - x1)
Substituting the given point and slope, we get:
1 - y1 = 5(-3 - x1)
Now solving for y1 (the y-intercept), we have:
1 = 5(-3) + y1
1 = -15 + y1
y1 = 1 + 15
y1 = 16
Therefore, the equation of line B in slope-intercept form is y = 5x + 16. This option is not listed in the given choices, indicating a possible error in the question itself or the provided options. However, from the given choices, none match the correct slope of 5, hence no provided option is correct.