Question

The equation y= mx + bis the slope-intercept form of a linear equation. Solve y= mx + b for m. O A. m = OB. V-6 O c. m-y-6- * D. m. SUBMIT

Answer 1

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

`\begin{gathered} y-b=mx+b-b \\ \\ y-b=mx \end{gathered}`

Step 2:

Divide through by x

`\begin{gathered} (y-b)/(x)=(mx)/(x) \\ \\ (y-b)/(x)=m \\ \\ m=(y-b)/(x) \end{gathered}`

ANSWER:

`m=(y-b)/(x)`