shanelle99 shanelle99
  • 03-04-2019
  • Mathematics
contestada

A line passes through the point (5,-2) and has a slope of -1/3.Which equation models the line

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 03-04-2019

Answer:

[tex]y + 2= -\frac{1}{3}(x-5)[/tex]

Step-by-step explanation:

To write the equation of a line with a slope and a point, use the point slope form of the line. Substitute m = -1/3 and (5, -2).

[tex]y - y_1 = m(x-x_1)\\y --2 = -\frac{1}{3}(x - 5)\\y + 2 = -\frac{1}{3}(x-5)[/tex]

You can convert to slope intercept form.

[tex]y + 2 = -\frac{1}{3}(x-5)\\y + 2 = -\frac{1}{3}x + \frac{5}{3}\\y = -\frac{1}{3}x + \frac{5}{3} -2\\y = -\frac{1}{3}x - \frac{1}{3}[/tex]

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