Answer:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Since the line given in the question is parallel to y = 1/4x + 7, we know that the line has a slope of m = 1/4.
To find the equation of the line that passes through (4,-1), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).
Therefore, the equation of the line passing through (4,-1) and parallel to y = 1/4x + 7 is:
y - (-1) = 1/4(x - 4)
y + 1 = 1/4x + 1
This is the equation of a line passing through (4,-1) and parallel to y = 1/4x + 7.