An equation of a line through (-1,4) which is perpendicular to the line y=4x + 1 has slope - 1/4 and y-intercept

y intercept is 3.5 or 3 1/2

Step-by-step explanation:

y=mx+b

substitute the ordered pair (-1,4) in place for y and x in the equation; substitute the slope of - 1/4 in place of m to solve for "b"

4 = - 1/4 (-1) + b

4 = 2/4+b

subtract 2/4 from both sides

b = 3 2/4 which reduces to 3 1/2 or in decimal form 3.5