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Answer :

Solution:

The equation of the line is given below as

[tex]x+5y=-5[/tex]

Step 1:

To figure out the x-intercept, we will put y=0 and solve for x

[tex]\begin{gathered} x+5y=-5 \\ x+5(0)=-5 \\ x=-5 \\ (-5,0) \end{gathered}[/tex]

Step 2:

To figure out the y-intercept.

we will put x=0 and solve for y

[tex]\begin{gathered} x+5y=-5 \\ 0+5y=-5 \\ \frac{5y}{5}=\frac{-5}{5} \\ y=-1 \\ (0,-1) \end{gathered}[/tex]

Hence,

The final answer is

[tex]\begin{gathered} x-intercept\Rightarrow(-5,0) \\ y-intercept\Rightarrow(0,-1) \end{gathered}[/tex]