Answer:
Given equation of the line,
[tex]y=\frac{4}{7}x-2[/tex]
If x = 0,
[tex]y=\frac{4}{7}(0) - 2=0-2=-2[/tex]
Thus, the line intercepts y-axis at (0,-2)
If y = 0,
[tex]0=\frac{4}{7}x-2\implies 2=\frac{4}{7}x\implies x=\frac{14}{4}=3.5[/tex]
Thus, the line intercepts x-axis at (3.5,0)
By joining these two points in the graph,
We will get the graph of the given line ( shown below )