Respuesta :

The equation of the linear function is given below as

[tex]y+2=\frac{1}{5}(x-1)[/tex]

Step 1: Get the y-intercept by putting the value of x=0

[tex]\begin{gathered} y+2=\frac{1}{5}(x-1) \\ y+2=\frac{1}{5}(0-1) \\ y+2=-\frac{1}{5} \\ y=-\frac{1}{5}-2 \\ y=-0.2-2 \\ y=-2.2 \end{gathered}[/tex]

The coordinate of the y-intercept is

[tex](0,-2.2)[/tex]

Step 2:Get the x-intercept by putting the value of y=0

[tex]\begin{gathered} y+2=\frac{1}{5}(x-1) \\ 0+2=\frac{1}{5}(x-1_{} \\ 2=\frac{(x-1)}{5} \\ (x-1)=2\times5 \\ x-1=10 \\ x=10+1 \\ x=11 \end{gathered}[/tex]

Hence,

The coordinate of the x-intercept is

[tex](11,0)[/tex]

Therefore,

By using a graphing calculator, we will have the graph be

Ver imagen EllyanahJ239235
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