Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y+2=1/5(x-1)[/tex] -----> linear equation in point slope form
we know that
the line passes through the point [tex](1,-2)[/tex]
the slope is equal to [tex]m=1/5[/tex]
To plot the line find the intercepts
Find the y-intercept ----> (value of y when the value of x is equal to zero)
[tex]y+2=1/5(0-1)[/tex]
[tex]y=-11/5=-2.2[/tex]
The y-intercept is the point [tex](0,-2.2)[/tex]
Find the x-intercept ----> (value of x when the value of y is equal to zero)
[tex]0+2=1/5(x-1)[/tex]
[tex]x=11[/tex]
The x-intercept is the point [tex](11,0)[/tex]
Plot the intercepts to graph the linear equation
see the attached figure
