thenakedfinger1031 thenakedfinger1031
  • 25-07-2019
  • Mathematics
contestada

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

Which equations andor functions represent the graphed line Select three options class=

Respuesta :

shirleywashington shirleywashington
  • 14-08-2019

Answer:

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

Step-by-step explanation:

Let's take points (2,3) and (-4,0)

Slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\frac{0-3}{-4-2}\\\Rightarrow m=\frac{3}{6}\\\Rightarrow m=\frac{1}{2}[/tex]

So,

[tex]y=mx+c\\\Rightarrow y=\frac{1}{2}x+c[/tex]

To find c we put value of (2,3) in the equation

[tex]3=\frac{1}{2}2+c\\\Rightarrow 3-1=c\\\Rightarrow 2=c[/tex]

Equation of line

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

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