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 ā 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.Ā

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:Ā

$Ā m=\frac {(Y2-Y1)}{(X2-X1)}$

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

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

**Note:**

The greater the slope ā the steeper the graph.

The smaller the slope ā the more moderate ā 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 ā it is very, very moderate ā flat.

Therefore, as it increases, the graph will be steeper.