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tatiyna
3 years ago
9

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

(–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning.
Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer:

Step-by-step explanation: (8,5)(-12,-9)slope = (-9 - 5) / (-12 - 8) = -14/-20 = 7/10y = mx + bslope(m) = 7/10use either of ur points.....(8,5)....x = 8 and y = 5now we sub and find b, the y int5 = 7/10(8) + b5 = 56/10 + b5 - 56/10 = b50/10 - 56/10 = b-3/5 = bso ur equation is : y = 7/10x - 3/5.....now we put it in standard formy = 7/10x - 3/5...multiply by 1010y = 7x - 6.....subtract 7x-7x + 10y = -6....multiply by -17x - 10y = 6So.....7x - 10y = 3.... IS NOT a good model. Because ur points are not a solution to ur equation.

Svetlanka [38]3 years ago
7 0
(8,5)(-12,-9)
slope = (-9 - 5) / (-12 - 8) = -14/-20 = 7/10

y = mx + b
slope(m) = 7/10
use either of ur points.....(8,5)....x = 8 and y = 5
now we sub and find b, the y int
5 = 7/10(8) + b
5 = 56/10 + b
5 - 56/10 = b
50/10 - 56/10 = b
-3/5 = b

so ur equation is : y = 7/10x - 3/5.....now we put it in standard form

y = 7/10x - 3/5...multiply by 10
10y = 7x - 6.....subtract 7x
-7x + 10y = -6....multiply by -1
7x - 10y = 6

So.....7x - 10y = 3.... IS NOT a good model. Because ur points are not a solution to ur equation.
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Answer:

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Step-by-step explanation:

From the table you can see that

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Two-way table is

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

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