syjnation4 syjnation4
  • 22-04-2021
  • Mathematics
contestada


Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5

Write the equation of the line that passes through 4 3 and is perpendicular to the line y 75x25 class=

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altavistard
altavistard altavistard
  • 23-04-2021

Answer:

y - 3 = (-5/7)(x + 4)

Step-by-step explanation:

The given line, y = 7/5x-2/5, has a slope of 7/5.  Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.

Use the point-slope formula to come up with an equation for this new line:

y - 3 = (-5/7)(x + 4)

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