Answer:
[tex]y + 6 = -2 (x-4)[/tex]
Step-by-step explanation:
Point-slope formula is represented by the equation [tex]y-y_1 = m (x-x_1)[/tex]. When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope of the line. Since we know the slope is -2, substitute -2 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for [tex]x_1[/tex] and -6 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)[/tex]
