Respuesta :

we have the equation of the line

[tex]y=\frac{1}{4}x+2[/tex]

step 1

Find out the y-intercept (value of y when the value of x is zero)

so

For x=0

[tex]\begin{gathered} y=\frac{1}{4}(0)+2 \\ y=2 \end{gathered}[/tex]

the y-intercept is the point (0,2)

step 2

Find out the x-intercept (value of x when the value of y is zero)

so

For y=0

[tex]\begin{gathered} 0=\frac{1}{4}x+2 \\ \frac{1}{4}x=-2 \\ x=-8 \end{gathered}[/tex]

the x-intercept is the point (-8,0)

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