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Give the equation of a line that is perpendicular to the line y= -4/5x+8

Sagot :

Answer:

  y = 5/4x

Step-by-step explanation:

The given line is written in slope-intercept form. In this form, the slope is the coefficient of x, -4/5.

The perpendicular line will have a slope that is the opposite reciprocal of this value:

  -1/(-4/5) = 5/4

The simplest such line is the one that goes through the origin:

  y = 5/4x

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