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7X -6Y=-3 what is the slope of the parallel and perpendicular line

User Pool Pro
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1 Answer

6 votes

Answer:

  • parallel: 7/6
  • perpendicular: -6/7

Explanation:

You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.

Slope

The slope is the x-coefficient when the equation is in slope-intercept form:

y = mx +b

Solving for y gives ...

-6y = -7x -3

y = 7/6x +1/2 . . . . . divide by -6

The slope of the given line is 7/6.

Parallel

A parallel line will have the same slope: 7/6.

Perpendicular

A perpendicular line will have opposite reciprocal slope: -6/7.

User Jeepston
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