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100 Points and Brainliest.
Write an equation that represents the line.
Use exact numbers.

Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.

100 Points and Brainliest Write an equation that represents the line Use exact numbers Inserting gibberish or an absurd answer that isnt applicable will be repo class=

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Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

  • (4, 6)
  • (-2, 1)

Making an equation

  • Find the slope
  • m = 1 - 6 / -2 - 4
  • m = -5 / -6
  • m = 5/6

  • Take one of the two points and substitute in the equation :
  • ⇒ y - y₁ = m (x - x₁)
  • ⇒ y - 6 = 5/6 (x - 4)
  • ⇒ y - 6 = 5x/6 - 10/3
  • ⇒ y = 5x/6 + 8/3
  • ⇒ or 6y = 5x + 16

Take two points

  • (-2,1)
  • (4,6)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

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