Respuesta :

absor201

Answer:

The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

[tex]0=y+3[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]

where

  • [tex]m[/tex] is the slope of the line and,
  • [tex]\left(x_1,\:y_1\right)[/tex] is a point on the line.

As the slope is [tex]m=0[/tex], and the point is [tex](3,-3)[/tex]

so

Equation of the line will be:

[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-3\right)\:=\:0\left(x-3\right)[/tex]

Further simplifying

[tex]0=y-\left(-3\right)[/tex]

[tex]0=y+3[/tex]

Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

[tex]0=y+3[/tex]

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