Answer:
[tex]y-2=\frac{1}{5} (x-2)[/tex]
Step-by-step explanation:
Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]m[/tex] is slope
[tex]x_{1}[/tex] is the x value of one of the points that the line passes through
[tex]y_{1}[/tex] is the y value of one of the points that the line passes through
So given this we know the slope or "m" is [tex]\frac{1}{5}[/tex]
And since the line passes through (2,2) the y value is 2 and the x value is 2
So, [tex]x_{1} =2[/tex] and [tex]y_{1} =2[/tex]
Now we just fill in the values we know
[tex]y-2=\frac{1}{5} (x-2)[/tex]
This is the point slope form
