Question

The table shows the gallons of water in a pool over time.



Choose the term that describes the slope of the line of a graph representing the data in the table.

The slope of a line graphed to represent the volume of water in a pool over time would be described as 

Answer 1

the answer is negitive

Answer 2

The slope of the line is m = -6, and the line y-intercept is 20.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

Let's suppose the line best fit for the given data is:

y = mx + c

Where m is the slope of the line and c is the y-intercept.

We can calculate the value of 'm'

$\rm m = \frac{n \sum xy-\sum x \sum y}{n\sum x^2-(\sum x)^2}$

From the table the value of ∑x = 15, ∑y = 210, ∑xy = 420, ∑x² = 55, and n=6

$\rm m = \frac{6\times 420-(15)(210)}{6\times 55-(15)^2}$

$\rm m =\frac{2520-3150}{330-225}$

m = -6

For c:

$\rm c = \frac{\sum y-m\sum x}{n}$

$\rm c = \frac{210-6\times15}{6}$

c = 20

The line of best fit will be:

y = -6x + 20

Thus, the slope of the line is m = -6, and the line y-intercept is 20.

Learn more about the slope of the straight line here:

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