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Which equation represents a line that is perpendicular to the line y = 2x - 1?

a) y = -1/2x - 1
b) y = -2x + 1
c) y = 2x + 1
d) y = 1/2x - 1

1 Answer

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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).

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