MadilynneS207359 MadilynneS207359
  • 03-11-2022
  • Mathematics
contestada

4. Find the equation ofthe line:through (10,7) perp. to5x - 6y = 18

Respuesta :

SkyletteF68743 SkyletteF68743
  • 03-11-2022

Find the equation of the line:

y = mx+b

y - y1 = m (x - x1)

point (x1, y1)

__________________

Perp. to 5x - 6y = 18

rearranging to form y = mx+b

5x - 6y = 18

6y= -5x - 18

y = -5/6 - 3

m1= -5/6

_____________________

Perpendicular lines

m1 * m2 = -1

-5/6* m2 = -1

m2= 6/5

_______________

Replacing

m=

point = (10,7)

y - y1 = m (x - x1)

y - 7 = 6/5 (x - 10)

y = 6/5 x - 12 +7

y = 6/5 x -5

The equation of the line: through (10,7) perp. to 5x - 6y = 18 is y = 6/5 x -5

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