# Question #5cac3

Jun 22, 2017

$\text{speed} = \frac{\Delta d}{\Delta t}$

#### Explanation:

An algebraic graph shows $x$ values on the horizontal axis and $y$ values on the vertical axis. The slope of a line indicates how steep it is.

A steep line means that the $y$ values change more than the $x$ values, while a gentle gradient means that the change in the $x$ values is greater than in the $y$ values.

$m = \frac{\Delta y}{\Delta x}$

In Physics, if an object is moving, we can draw a graph of its journey, plotting how far an object has moved (distance), in a a certain time.

Distance is shown on the vertical ($y$) axis and time is shown on the horizontal ($x$) axis.

The slope of such a graph is an indication of the SPEED.

A steeper line shows that a further distance was covered in a short time, so this indicates a FAST speed. Whereas, a line with a gentle slope means that the object was travelling SLOWLY because a short distance is covered in a longer time.

$\text{speed} = \frac{\Delta d}{\Delta t}$