Respuesta :

Answer:

The equation of the line that passes through the point (4,7) and has a slope of 0 will be:

  • [tex]y=7[/tex]

Step-by-step explanation:

As we know the equation of a line in a slope-intercept form of an equation is

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

Here,

  • m is the slop
  • b is the y-intercept

so

substituting the point (4,7) and slope m=0

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

[tex]7=0(4)+b[/tex]

[tex]7=0+b[/tex]

[tex]b=7[/tex]

Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:

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

[tex]y=0x+7[/tex]

[tex]y=7[/tex]

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