Answer:
Y = 1/5 x + 8/5
Explanation:
The equation of a line in slope intercept form is
[tex]y=mx+b[/tex]we are told that the slope of the equation is 1/5; therefore,
[tex]y=\frac{1}{5}x+b[/tex]Furthermore, we are also told that the line passes through (2,2), meaning it should satisfy the condition when y = 2, x = 2
Putting in x =2 and y = 2 in the above equation gives
[tex]2=\frac{1}{5}(2)+b[/tex][tex]2=\frac{2}{5}+b[/tex]subtracting 2/5 from both sides gives
[tex]2-\frac{2}{5}=b[/tex][tex]b=\frac{8}{5}=1.6[/tex]Hence the equation of the line is
[tex]y=\frac{1}{5}x+\frac{8}{5}[/tex]The graph of the equation is given below.
