jegenshebske jegenshebske
  • 09-01-2022
  • Mathematics
contestada

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

Respuesta :

jimrgrant1 jimrgrant1
  • 09-01-2022

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - [tex]\frac{1}{3}[/tex] x + 1 ← equation of line

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