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Which of these points lies on the line described by the equation below?
y- 4 = -2(x-6)
O A. (-6,-4)
O B. (6,4)
O c. (-4,-6)
O D. (4, 6)
Help plzzz?

Answer :

gmany

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

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