Answer:
[tex]y=\frac{1}{4}x+1[/tex]
Step-by-step explanation:
the common formula of the required equation is:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
if to substitute the given coordinates into the folmula above, then the required equation is:
[tex]\frac{x-0}{4-0} =\frac{y-1}{2-1};[/tex] ⇔ y-1=1/4*x; ⇔ [tex]y=\frac{1}{4} x+1.[/tex]
