Question

Drag each label to the correct location on the equation. Each label can be used more than once, but not all labels will be used. The following graph shows a relationship between the size of the household and the average amount of time, in hours, each member of the household spends on chores per week. Determine the equation for the line of best fit given on the graph above.

Answer 1

The equation for the line of best fit given on the graph will be y = -0.35x + 5.3

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To determine the equation of the line in this case, you need to choose two points of the graph.

Let

Point 1

P1 = (x1, y1)

Point 2

P2 = (x2, y2)

The slope of the line is

m = (y2-y1) / (x2-x1)

The equation of the line (choosing any point) will be

y-y1 = m (x-x1)

For this particular case, the line that best represents the graph is:

y = -0.35x + 5.3

Hence the equation for the line of best fit given on the graph will be y = -0.35x + 5.3

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