XxLydiaxXwolf702 XxLydiaxXwolf702
  • 12-07-2022
  • Mathematics
contestada

A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). which equation represents the graphed function? y = –2x 3 y = 2x 3 y = x 3 y = –x 3

Respuesta :

jimrgrant1 jimrgrant1
  • 12-07-2022

Answer:

y = - 2x + 3

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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

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