Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y+2=\frac{1}{5}(x-1)[/tex]
This is the equation of the line into point slope form
The point is (1,-2) and the slope is m=1/5
we know that
To correctly identify the graph find out the x and y intercepts of the graph
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y+2=\frac{1}{5}(0-1)[/tex]
[tex]y=-\frac{1}{5}-2[/tex]
[tex]y=-\frac{11}{5}=-2.2[/tex]
The y-intercept is the point (0,-2.2)
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0+2=\frac{1}{5}(x-1)[/tex]
[tex]10=x-1[/tex]
[tex]x=11[/tex]
The x-intercept is the point (11,0)
To graph the line plot the intercepts and join the points
see the attached figure
