Final answer:
To find a line perpendicular to y = 2x - 1, we can find its slope and determine the negative reciprocal. The equation y = mx + b represents a line, where m is the slope and b is the y-intercept. The equation of a line perpendicular to y = 2x - 1 is y = -1/2x + b (option a).
Step-by-step explanation:
To find a line that is perpendicular to y = 2x - 1, we need to find its slope and then determine the negative reciprocal. The equation y = mx + b represents a line, where m is the slope and b is the y-intercept.
Given y = 2x - 1, we can see that its slope is 2.
To find the slope of the perpendicular line, we take the negative reciprocal of 2: -1/2.
Therefore, the equation of a line perpendicular to y = 2x - 1 is y = -1/2x + b, where b is the y-intercept.
Among the given options, the equation that represents a line perpendicular to y = 2x - 1 is y = -1/2x + b (option a).