# Question #08422

Mar 31, 2016

The Quantity Q is related to quantity P linearly.
And with an increase in Q there is decrease in P.

#### Explanation:

The general equation of a straight line can be written as
$y = m x + c$ ....(1)
Where $m$ is the slope of the line and $c$ is the intercept on the $x$ axis.
In the graph presented in the question the slope $m$ is a negative quantity.

It could be a case of uniform retardation. Where with increase of time plotted on the $x$ axis, the velocity of the object decreases linearly.

Recall $v = u + a t$, where $v , u , a \mathmr{and} t$ are final velocity, initial velocity, acceleration and time elapsed.

For retardation $a$ would be a negative quantity as it is acting in a direction opposite to the direction of motion. The equation will look like
$v = - a t + u$
Comparing with (1), one can find the retardation and initial velocity.