Question

Which of the following is the equation of a line that is perpendicular to the graph of

y = 25x - 1?
A) y = -1/25x
B) y = -x/25
C) y = 25x
D) y = 1/25x

Answer 1

The equation of a line that is perpendicular to y = 25x - 1 is y = -1/25x.

Step-by-step explanation:

To find an equation of a line that is perpendicular to the graph of y = 25x - 1, we need to determine the negative reciprocal of the slope of the given line. The slope of the given line is 25, so the negative reciprocal is -1/25. Therefore, the equation of a line that is perpendicular to y = 25x - 1 is y = -1/25x.

Answer 2

The equation of a line that is perpendicular to the graph of

B) y = -x/25

Step-by-step explanation:

To find the equation of a line perpendicular to y = 25x - 1, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. The given equation is in the form y = mx + c, where m represents the slope of the line. The slope of the given line y = 25x - 1 is 25 (coefficient of x).

For a line perpendicular to this, the negative reciprocal of 25 (m) will be -1/25. Therefore, the slope of the perpendicular line is -1/25. We can construct the equation in the form y = mx, substituting -1/25 for m, yielding the equation y = -x/25, which corresponds to option B.