Slope in the Function y=mx

The concept of slope in the function $y=mx$ expresses the angle between the line and the positive direction of the $X$ axis.
$M$ represents the slope of the function – the rate of change of $Y$ relative to the rate of change of $X$.
When two points on a certain line are known, the slope of the line can be calculated from them. 

If $M>0$ is positive - the line rises
If $M<0$ is negative - the line falls
If $M=0$ the line is parallel to the $X$ axis. (In a graph like this, where $b=0$ the line coincides with the $X$ axis.)

This calculation is done using the following formula: 

$m=\frac {(Y2-Y1)}{(X2-X1)}$

where the two points $\left(X1,Y1\right)$ and $\left(X2,Y2\right)$ are on the mentioned line. 

It is important to emphasize that the slope is constant for any line. 

Note:

The greater the slope – the steeper the graph.
The smaller the slope – the more moderate – flatter the graph.
How will you remember this?
Remember that when the slope is equal to 0, the graph is parallel to the X-axis – it is very, very moderate – flat.
Therefore, as it increases, the graph will be steeper.