Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
[tex]y-(-2)=-3(x-2)[/tex]
[tex]y+2=-3(x-2)[/tex]
Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].
