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liubo4ka [24]
2 years ago
8

Make a table of values and create a line of best fit

Mathematics
1 answer:
Anni [7]2 years ago
4 0
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

k=\frac{2-0}{1-0}=2

Finally, the equation of the line is:

\boxed{y=2x}

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What is the solution to this system of linear equations?
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3 years ago
1.) There are 16 juniors and 8 seniors in the Chess Club. If the club
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4.) A corporation has 5 officers to choose from which 3 are selected  to comprise the board of directors. How many combinations are there?

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3 years ago
two person A and B spent a total of pkr 486 .Person A spent twice as much money as person B. How much money did person A spend
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9514 1404 393

Answer:

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Step-by-step explanation:

Person A spent 2/3 of the total money spent, so ...

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8 0
2 years ago
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