SOLUTION
The given equation is:
[tex]L(x)=20-0.4x[/tex]
The x intercept is gotten when L(x)=0, hence the x intercept is:
[tex]\begin{gathered} 0=20-0.4x \\ 0.4x=20 \\ x=\frac{20}{0.4} \\ x=50 \end{gathered}[/tex]
Therefore the coordinate of the x intercept is (50,0).
The y intercept is gotten when x=0, hence the y intercept is:
[tex]\begin{gathered} L(x)=20-0.4(0) \\ L(x)=20 \end{gathered}[/tex]
Therefore the coordinate of the y intercept is (0,20).
Comparing the equation with y=mx+b it follows that the slope is:
[tex]m=-0.4[/tex]
The graph is shown below:
Since the slope is negative, then the learning rate is decreasing.
