Answer:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=mx+b[/tex]
And we want to rewrite it in terms of m.
We can subtract b from both sides:
[tex]y-b=mx[/tex]
Finally, dividing both sides by x yields:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
In conclusion:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]