Answer:
The inputs to this formula are:
- The x-coordinate of the point: [tex]x_0 = -11[/tex];
- The y-coordinate of the point: [tex]y_0 = 4[/tex]; and
- The slope of the line: [tex]m = -2[/tex].
The equation of this line in point-slope form will be:
[tex]y - 4 = -2(x +11)[/tex].
Step-by-step explanation:
The general form of a 2D line in its point-slope form is:
[tex]l:\; y - y_0 = m(x - x_0)[/tex].
This form of the equation of a line takes two pieces of information:
- The x-y coordinate of a point on the line [tex](x_0, y_0)[/tex], and
- The slope (a.k.a. gradient) of that line.
For this line, the point [tex](x_0, y_0)[/tex] is [tex](-11, 4)[/tex].
- [tex]x_0 = -11[/tex], and
- [tex]y_0 = 4[/tex].
The slope of this line is [tex]-2[/tex]. In other words,
Apply the point-slope formula for a 2D line:
[tex]l:\; y - 4 = -2 (x - (-11))[/tex].
[tex]l:\; y - 4 = -2 (x +11 )[/tex].
