Question

The equation y=mx+b is the slope-intercept form of a linear equation.

Solve y=mx+b for m

Answer 1

`\large\boxed{m=(y-b)/(x)}`

Explanation:

`y=mx+b\to mx+b=y\qquad\text{subtract}\ b\ \text{from both sides}\\\\mx+b-b=y-b\\\\mx=y-b\qquad\text{divide both sides by}\ x\\eq0\\\\(mx)/(x)=(y-b)/(x)\\\\m=(y-b)/(x)`

Answer 2

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

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

Then, to solve for the slope "m", you can follow these steps:

- You need to subtract "b" from both sides of the equation:

`y-b=mx+b-b\\\\y-b=mx`

- Finally, you can divide both sides of the equation by "x". Then:

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