Final answer:
To find the equation of a line that is perpendicular to y=4x-1, we need to determine the negative reciprocal of the slope of the given line. The equation of the line perpendicular to y=4x-1 is y=(-1/4)x + b.
Step-by-step explanation:
To find the equation of a line that is perpendicular to y=4x-1, we need to determine the negative reciprocal of the slope of the given line.
The given line has a slope of 4. To find the negative reciprocal, we take the reciprocal of 4 (-1/4) and change the sign, resulting in a slope of -1/4.
Therefore, the equation of the line perpendicular to y=4x-1 is y = (-1/4)x + b, where b is the y-intercept.