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Nostrana [21]
2 years ago
8

Chord properties of a circles​

Mathematics
1 answer:
egoroff_w [7]2 years ago
8 0

Answer:

In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.

Step-by-step explanation:

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Write an equation of the line that passes through (-6, 6) and is parallel to the line y = -2x + 2.
AURORKA [14]

Answer:

y = -2x - 6

Step-by-step explanation:

We know that the slopes of the lines are equal when the lines are parallel to each other.

So, the equation of the given line is<u> y = -2x + 2.</u>

Here,

y = mx + c

y = -2x + 2

slope ⇒ m ⇒ -2

Therefore, the slope of the new line will be ( - 2 ).

<u>And now we have to find the y-intercept ( c ).</u>

For that let us use the given coordinate.

( -6 , 6 ) ⇒ ( x , y )

To find the y-intercept we have to make c the subject of the equation y mx + c.

Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.

<u>Let us solve it now.</u>

y = m x + c

6 = -2 × -6 + c

6 = 12 + c

6 - 12 = c

-6 = c

Now we have found that,

m ⇒ - 2

c ⇒ -6

<u>And now let us write the equation of the line.</u>

y = m x + c

<u>y = -2x - 6</u>

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Just wanted to make sure
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