What is the slope of the line and what does it mean in this situation?
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The slope of the line is
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.
This means that
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mm of rain falls every
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.
A line graph measuring time and amount of rain. The horizontal axis is labeled Time, hours, in intervals of 1 hour. The vertical axis is labeled Amount of rain, millimeters, in intervals of 1 millimeter. A line runs through coordinates 2 comma 5 and 4 comma 10.
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To determine the slope of the line, we can use the coordinates provided: (2, 5) and (4, 10). The formula for the slope (m) of a line is:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the coordinates (2, 5) as (x1, y1) and (4, 10) as (x2, y2):
\[ m = \frac{10 - 5}{4 - 2} = \frac{5}{2} = 2.5 \]
So the slope of the line is 2.5.
Now, let's complete the statements given this information:
The slope of the line is 2.5.
This means that 2.5 mm of rain falls every 1 hour.
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