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Answer :

  • A(1,2)

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

  • y = 2x

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

  • y = kx

Considering the coordinates of the point A:

  • 2 = 1*k ⇒ k = 2

The line is:

  • y = 2x