Answer:
The slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis is .
Step-by-step explanation:
<h3>Definition of slope of a line:</h3>The slope of a line describes its steepness. In mathematical terms, for a line passing through two points with known coordinates, the slope is defined as the ratio of the change in the y-coordinates to the change in the x-coordinates.
<h3>Formula for the slope of a line:</h3>Let 'm' represent the slope of a line passing through two points with coordinates and
. So, according to the definition, the slope of the line can be written as follows,
According to the information given in the question, the school conducts tests in
weeks.
Now, any point on the axis is given by the general form
, where
represents any numerical value on the axis. Similarly, any point on the
axis is given by the general form
, where
represents any numerical value on the axis.
It is given that the time in weeks is represented on the axis, so
weeks can be represented as coordinates as
. Likewise, the number of tests conducted, i.e.,
can be represented as coordinates as
.
Now, slope of the line passing through the above mentioned points, using the formula is as follows,
Simplifying the mod operator, the slope of the line is found to be .
Hence, the correct option is option .
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