phatbackmeat
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  • 11-10-2017
  • Mathematics
contestada

write the equation of the line that passes through the points (6,-4) and (3,6) in point slope form

Respuesta :

Аноним Аноним
  • 03-07-2019

Answer:

y = [tex]-3\frac{1}{3}x[/tex] + [tex]7\frac{1}{9}[/tex]

Step-by-step explanation:

The line passes through points (6,-4) and (3,6)

The slope (m) of the line = change in y ÷ change in x

m = [tex]\frac{6 - - 4}{3 - 6}[/tex] = [tex]-3\frac{1}{3}x[/tex]

Taking another point (x,y) on the line;

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

Cross-multiplying gives;

y = [tex]-3\frac{1}{3}x[/tex] + [tex]7\frac{1}{9}[/tex]

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