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A graph of a linear function has a slope of and contains
3
the point (0,2). Which of these represents the equation of
this function?

Respuesta :

awesomejaphet

Step-by-step explanation:

x-0/y-2=3

x=3y-6

3y-x=6

absor201

Answer:

The required line equation of the function is:

[tex]y = 3x + 2[/tex]

Please also check the attached graph.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Given

  • Slope m = 3
  • Point (0, 2)

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

We are given the point (0, 2)

It means,

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 3 and b = 2 in the slope-intercept form of the linear or line function

[tex]y = mx+b[/tex]

[tex]y = 3x + 2[/tex]

Therefore, the required line equation of the function is:

[tex]y = 3x + 2[/tex]

Please also check the attached graph.

Ver imagen absor201

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