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Y - intercept is the value of y - coordinates of the point where the line intersects the y - axis, that is :

  • [tex]0[/tex]

Y - intercept = 0

Answer:

Let's find slope first

Take 2points

  • (1,-2)
  • (0,0)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

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

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

Equation of the line

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

Put values

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

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

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

y-intercept is 0