The given graph is
[tex]y = \frac{1}{4} x - 2[/tex]
For y intercept put x=0 in the equation.
[tex]y = \frac{1}{4} (0) - 2[/tex]
[tex]y = 0 - 2[/tex]
[tex]y = - 2[/tex]
The y intercept is
[tex](0,-2)[/tex]
For x intercept , put y=0 in the equation.
[tex]0 = \frac{1}{4} x - 2[/tex]
Make x the subject
[tex] \frac{1}{4} x = 2[/tex]
[tex]x = 4 \times 2[/tex]
[tex]x = 8[/tex]
The x - intercept is
[tex]
(8,0)[/tex]
