Solve the following equation for b
y=mx+b

The answer is:

b = y − mx .

Explanation:

Given:

y = mx + b ; 

We want to isolate "b" on one side of the equation to solve for "b".

→ y = mx + b ; Subtract "mx" from BOTH sides of the equation; to isolate "b" one side of the equation; and solve for "b":

y = mx + b → y − mx = mx + b − mx ;

                  → y − mx = b ; ↔ b = y − mx

                  → b = y − mx .