Use the graph that shows the number of laps completed over time. Find the slope of the line.
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By using the given graph, we will see that the slope of the linear equation is:
a = 0.5 laps per minute.
For a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
So we need to look at the graph and identify two points, we will use:
(10 min, 5) and (20 min, 10)
So the slope is:
a = (10 - 5)/(20 min - 10 min) = 0.5 laps per minute.
If you want to learn more about linear equations, you can read:
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