Answer:
B. (6, 4)
Step-by-step explanation:
The slope-point form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
We have the equation:
[tex]y-4=-2(x-6)[/tex]
hence
[tex]m=-2,\ x_1=6,\ y_1=4\to(6,\ 4)[/tex]
Check other points:
Substitute the coordinates of the points into the equation and check the equality:
A. (-6, -4)
-4 - 4 = -2(-6 - 6)
-8 = 24 FALSE
C. (-4, -6)
-6 - 4 = -2(-4 - 6)
-10 = 20 FALSE
D. (4, 6)
6 - 4 = -2(4 - 6)
2 = 4 FALSE
