Respuesta :

We have the next equation

[tex]2x-10y=-10[/tex]

the y- intercept is where x=0

so we need to substitute the value of x=0 and find the value of y

[tex]\begin{gathered} 2(0)-10y=-10 \\ -10y=-10 \\ y=\frac{-10}{-10}=1 \\ y=1 \end{gathered}[/tex]

the y-intercept is (0,1)

the x-intercept is where y=0

so wee need to substitute the value of y=0 and find the value of x

[tex]\begin{gathered} 2x-10(0)=-10 \\ 2x=-10 \\ x=\frac{-10}{2} \\ x=-5 \end{gathered}[/tex]

the x-intercept is (-5,0)