A line intersects the point (-11,4)and has a slope of -2. What are the inputs to the point -slope formula?

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]; andThe 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], andThe 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,[tex]m = -2[/tex].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].