Respuesta :

A)

[tex]\text{slope}=\frac{1}{5}[/tex]

[tex](0,\frac{1}{5})[/tex]

Explanation

f.

[tex]y=\frac{x+1}{5}[/tex]

Step 1

a) get the slope-intercept form

[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept} \end{gathered}[/tex]

so

[tex]\begin{gathered} y=\frac{x+1}{5} \\ y=\frac{x}{5}+\frac{1}{5} \\ y=\frac{1}{5}x+\frac{1}{5} \end{gathered}[/tex]

therefore,

[tex]\begin{gathered} y=\frac{1}{5}x+\frac{1}{5}\rightarrow y=mx+b \\ y=\frac{1}{5} \\ b=\frac{1}{5} \end{gathered}[/tex]

so

the slope is

[tex]\text{slope}=\frac{1}{5}[/tex]

and the y-intercpet is the ordered pair

[tex](0,\frac{1}{5})[/tex]

I hope this helps you