tmancuso1223 tmancuso1223
  • 22-03-2018
  • Mathematics
contestada

7x-5y=-6
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Respuesta :

MrGumby
MrGumby MrGumby
  • 02-01-2019

The perpendicular line would have a slope of -5/7.

Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.

7x - 5y = -6

-5y = -7x - 6

y = 7/5x + 6/5

To do the opposite, take the original slope (7/5) and change the sign (-7/5).

To do the reciprocal, take the slope we changed (-7/5) and flip it as a fraction (-5/7).

This gives us a new slope of -5/7.

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