Slope intercept form

Answer:
y=-3x+1
Step-by-step explanation:
1) the slope-interception form is: y=slope*x+intercept;
2) if A(0;1) and B(2;-5) then it is possible to make up the equation of the required line:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}; \ => \ \frac{x}{2}=\frac{y-1}{-6};[/tex]
3) the equation in the item 2 can be written in slope-interception form:
x=(y-1)/(-3); ⇔ y-1= -3x; ⇔ y= -3x+1.
P.S. note, the suggested way of solution is not the shortest one.