Answer:
[tex]m=(y-b)/x[/tex]
Step-by-step explanation:
we have
[tex]y=mx+b[/tex]
Solve for m
That means -----> isolate the variable m
Subtract b both sides
[tex]y-b=mx+b-b[/tex]
[tex]y-b=mx[/tex]
Divide by x both sides
[tex](y-b)/x=mx/x[/tex]
[tex](y-b)/x=m[/tex]
Rewrite
[tex]m=(y-b)/x[/tex]