Given the slope intercept form of a linear equation:
y = mx + b
To solve the equation for m, take the following steps.
Step 1:
Subtract b from both sides
[tex]\begin{gathered} y-b=mx+b-b \\ \\ y-b=mx \end{gathered}[/tex]Step 2:
Divide through by x
[tex]\begin{gathered} \frac{y-b}{x}=\frac{mx}{x} \\ \\ \frac{y-b}{x}=m \\ \\ m=\frac{y-b}{x} \end{gathered}[/tex]ANSWER:
[tex]m=\frac{y-b}{x}[/tex]