Question

The equation y=mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for m in terms of y

Answer 1

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

Explanation:

1. Take the equation of a line

`y=mx+b`

2. Subtract b on both sides of the equation to solve for m:

`y-b=mx+b-b`

3. As b-b is equal to 0, the equation obtained is:

`y-b=mx`

4. Divide by x on both sides of the equation to solve for m:

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

5. As
`(x)/(x)=1`, the equation obtained is:

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

where m is correctly solved in terms of y.