Respuesta :
Answer:
The y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
Step-by-step explanation:
The interception points with the axes can be foun by making zero one variable.
If you wanna find y-interception, we must make x = 0.
If you wann find x-interception, we must make y = 0.
The given function is
[tex]y=\frac{1}{4}x-2[/tex]
For [tex]x=0[/tex], we have
[tex]y=\frac{1}{4}(0)-2\\y=-2[/tex]
For [tex]y=0[/tex], we have
[tex]y=\frac{1}{4}x-2\\0=\frac{1}{4}x-2\\2=\frac{1}{4}x\\x=8[/tex]
Therefore, the y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
The image attached show this.