To simplify the given equation for m. An equation is given as y=mx+b.

Calculation:
We have given as equation as ${\displaystyle y=mx+b}$.
We will do some basic mathematical operation and solve the given equation.
Now let us simplify given equation.
${\displaystyle y=mx+b}$
${\displaystyle \Rightarrow y-b=mx+b-b}$ [Substrating b from both sides]
${\displaystyle \Rightarrow y-b=mx}$ [Simplifying]
${\displaystyle \Rightarrow \frac{y-b}{x}=\frac{mx}{x}}$ [Dividing both side by x]
${\displaystyle \Rightarrow m=\frac{y-b}{x}}$ [Simplifying]
Hence, we can say that solution for given equation will be ${\displaystyle m=\frac{y-b}{x}}$.

Answer is given below (on video)