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defon
4 years ago
7

Which of these points lies on the line described by the equation below?

Mathematics
1 answer:
Taya2010 [7]4 years ago
8 0

Answer:

<h2>B. (6, 4)</h2>

Step-by-step explanation:

The slope-point form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have the equation:

y-4=-2(x-6)

hence

m=-2,\ x_1=6,\ y_1=4\to(6,\ 4)

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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