Respuesta :
The equation of the line is a way to represent the line in the linear equation form by the set of points in a graph.The equation represents a line that passes through (-9, -3) and has a slope of -6 is,
[tex](y+3)=-6(x+9)[/tex]
Given-
The point from which the line passes through is (-9,-3).The slope of the given line m is -6.
Equation of the line
The equation of the line is a way to represent the line in the linear equation form by the set of points in a graph.
The standard form of the line passing through the point [tex]x_{1} ,y_{1}[/tex]
The slope m is given by,
[tex](y-y_{1})=m(x-x_{1})[/tex]
Put the values of points and slope in the above equation, we get,
[tex]y-(-3)]=(-6)[x-(-9)][/tex]
[tex](y+3)=-6(x+9)[/tex]
This is the required equation of a line.
Hence, option four is the correct option.
For more about the equation of the line, follow the link below-https://brainly.com/question/2564656
