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Say you are given the graph of the line y = -x.

Write the equation of the line that is perpendicular to the given line and goes through the point (8, 2).

Respuesta :

Answer:

y = x - 6

Step-by-step explanation:

Slope = -1x

A line perpendicular to that line will have a slope that is the negative reciprocal of -1. And here, the reciprocal of -1x is 1x.

So, let's find the equation of the line with slope 1x that is perpendicular goes through the point (8, 2).

y = mx + b

2 = 1(8) + b

2 = 8 + b

-8   -8

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-6 = b

The equation of the line is y = x - 6

Answer:

y = x - 6 is the equation of the line that is perpendicular to the given line and goes through the point (8, 2).