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san4es73 [151]
3 years ago
10

What is an equation of the line that passes through the points (6, 1) and (-6, -1)?

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

y =  \frac{1}{6} x

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the above formula,

m =  \frac{1 - ( - 1)}{6 - ( - 6)}  \\ m =  \frac{1 + 1}{6 + 6}  \\ m =  \frac{2}{12}  \\ m =  \frac{1}{6}

Substitute the value of m into the equation:

y =  \frac{1}{6} x + c

To find the value of c, substitute a pair of coordinates.

When x=6, y=1,

1 =  \frac{1}{6} (6) + c \\ 1 = 1 + c \\ c = 1 - 1 \\ c = 0

Thus, the equation of the line is y=⅙x.

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Answer:

3

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4 years ago
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zmey [24]
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1 1 5 x y

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6 0
3 years ago
ryan takes a 30 centimeter by 72 centimeter sheet of paper and cuts from one corner of the paper to diagonally opposite corner.
nikklg [1K]

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3 0
3 years ago
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Zzyzx Road is in California near Nevada. How many five-letter arrangements of the letters in the English alphabet follow Zzyzx a
Gemiola [76]
This problem can be solved using the concepts of permutation.

Zzyzx is the word. It has five letters. It asked as to how many five-letter arrangements of the letters in the English alphabet follow Zzyzx alphabetically.

Take note: <span>alphabetically
</span>
The two remaining five-letter after Zzyzx are Zzyzy and Zzyzz.
The remaining arrangements are of the form Zzz _ _.
There are 26 × 26 = 676 ways to fill in the last two letters, so following Zzyzx alphabetically, there are 2 + 676 = 678 arrangements.

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