Respuesta :

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

[tex]Ax+By=C[/tex]

The slope intercept form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.

It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

[tex]y-(-3)=0(x-(-9))[/tex]

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

[tex]y=-3[/tex]

Therefore, the standard form of the given line is [tex]y=-3[/tex].