Kissmylisps167 Kissmylisps167
  • 17-10-2017
  • Mathematics
contestada

Write an equation for a line perpendicular to y = 5 x − 4 y=5x-4 and passing through the point (-15,0)

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wizard123
wizard123 wizard123
  • 18-10-2017
Use point -slope form of equation of line:
[tex]y - y_0 = m(x-x_0) \\ \\ (x_0,y_0) = (-15,0) \\ \\ y = m(x+15)[/tex]

Next determine perpendicular slope.
Slope of given line is 5.
Perpendicular slopes must multiply to -1.
---> 5m = -1
---> m = -1/5

Sub into line equation for 'm'.
[tex]y = -\frac{1}{5} (x+15) \\ \\ y = -\frac{1}{5} x - 3[/tex]
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