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Answer:

4

Step-by-step explanation:

The slope of a line that is perpendicular is the negative inverse of the original.  The slope of the given line is -1/4.  This means that the slope of the perpendicular line will be 4.

The slope of a line perpendicular to the line; y = -1/4x -1 is:. 4

The line y = -1/4x − 1 takes the slope-intercept form of a straight line; y = mx + c.

In essence, the slope of the line y = -1/4x − 1 is;

  • m1 = -1/4

Also, the slope of two perpendicular lines are related as follows;

  • m1m2 = -1

The slope of the line perpendicular to line y = -1/4x − 1 is therefore;

  • m2 = -1/(-1/4)

  • m2 = 4.

In essence, the slope of a line perpendicular to the line; y = -1/4x -1 is:. 4.

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