tomixflox tomixflox
  • 12-10-2020
  • Mathematics
contestada

write the equation of a line in point slope form that passes through (6,5) and (-3,2)

Respuesta :

jjacaruso jjacaruso
  • 13-10-2020

Answer:

[tex]y-5 = \frac{1}{3}(x-6)[/tex]

Step-by-step explanation:

Point Slope Form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

where m = slope

First, you have to find the slope of the line which is the difference in y values divided by the difference in x values.

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]

[tex]m = \frac{2-5}{-3-6}[/tex]

[tex]m = \frac{-3}{-9} \\m = \frac{1}{3}[/tex]

Then plug in the values from either point to complete your equation of the line:

[tex]y-5 = \frac{1}{3}(x-6)[/tex]

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