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Which equations and/or functions represent the graphed line? Select three options.

A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).




y – 3 = y minus 3 equals StartFraction one-half EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)

Respuesta :

deisytrejo25

Answer:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Step-by-step explanation:

The equations of the line is:

[tex]y = \frac{1}{2}(x + 4)[/tex]

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The equation of a line, in points-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which:

  • m is the slope, that is, the rate of change.
  • The point is [tex](x_0,y_0)[/tex]

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Considering points (-4,0) and (-2,1).

  • The slope is given by change in y divided by change in x.
  • Change in y: 1 - 0 = 1.
  • Change in x: -2 - (-4) = -2 + 4 = 2.
  • The slope is: [tex]m = \frac{1}{2}[/tex]
  • Point (-4,0) means that [tex]x_0 = -4, y_0 = 0[/tex].
  • Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y = \frac{1}{2}(x - (-4))[/tex]

[tex]y = \frac{1}{2}(x + 4)[/tex]

A similar problem is given at https://brainly.com/question/16336743

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